Area Questions and Answers

a y b PQ c QR 13 If AC 63 AB 4z 9 BC 3z 12 find the value of z Then find the length of AB and BC AC AB BC 42 9 32 12 63 72 24 63 21 L N 21 84 L 2 12 14 If DE is the same value as EF DE 3x and EF 2x 8 find the value of x Then find the length of DF Part 3 Construction Use a compass and straightedge only 15 Construct a circle L 7 Construct a semicircle by using the radius NO A D E 16 Construct a circle C by using the radius CD 18 Construct a quarter circle by using the radius NO

C 21 3 X 66 4

7 In an experiment the probability that event A occurs is and the probability that event B 8 occurs is 334 If A and B are independent events what is the probability that A and B both occur Simplify any fractions

2 In 1856 Andrew Waugh announced Mount Everest to be 8840 m high after several years of calculations based on observations made by the Great Trigonometric Survey More recent surveys confirm the height as 8848 m Calculate the percentage error made in the earlier survey 4 The temperature today in Chicago is 50 F Instead of using the standard conversion 5 formula C x F 32 Tommaso uses his grandmother s rule which is easier but gives an approximate value Subtract 32 from the value in F and multiply the result by 0 5

Find the percentage error in using 3 14 instead of 7

a Use Gauss elimination method to solve the following problem A shopkeeper is selling 3 types of fruits namely mango guava and pineapple By selling 3 kg of mangoes 1kg of guava and 2 pineapples he made a gain of 35 By selling 2 kg of mangoes 3kg of guavas and 1 pineapple he made a gain of 10 By selling 2 kg of guavas and 1 pineapple he made a loss of 5 How much profit or loss will he make if he sells 3 kg of mangoes and 2 pineapples b For which real values of a and b the matrix 20 bl becomes orthogonal

33 The perimeters of two similar figures are 20 in and 50 in What is the ratio of the areas of the two figures State your answer as a fraction 34 If triangle ABC is similar to triangle MNO and side AB 23 when side MN 10 what is the length of side BC when side NO 33 O 72 03 O 77 94 O 75 9 O 74 26

2 3 The perimeter of this figure is O 11 in 15 in O 16 in 12 in2 O 12 ft 16 ft 2 1 and the area is 2

a Asked to name the distance that corresponds to the height slant height and base of parallelogram DEBT Brian and Briana Bronco wrote down different answers How they differed on identifying the base is shown below Complete the chart with rest of their answers slant height base height Briana TD Brian Find the area and perimeter of DEBT DE T B 6 G 65 9 7 2 D F 77 E 7 5 Measurements are in inches When they calculated the perimeter and area of DEBT did the Bronco twins Brian and Briana get different answers Explain

ZABD and ZDBC are A B What is the measure of x D 7 complementary angles X x C Angles are not drawn to scale Enter

Line RS bisects segment PQ at point R Find RQ if PQ 14 centimeter 3 5 7 centimeters 14 centimeters 28 centimeters centimeters

B Find the perimeter of each polygon 1 3 9 2x 2 5x 3 4x 1 2x 1 2x 10 x 7x 2 5 The triangle has a perimeter of 9x 1 Find a polynomial expression to represent the third side x 3 Find the area of each polygon 7 3x 4 4x 3 2x 5 2 4 2x 1 8 8x 15 6 If the perimeter of the rectangle is 6x 18 what is the height 10 4x 2 2x 3x 5 8x 15 4x 6 3x 4 3x 2 4x 6 3x 4 4x 2 2x 1 Susan Poe

2 8 37 2 40 3 21 4 21 5 21 0 333333 7

43 Which ordered pair is in the solution set of the system of inequalities shown in the accompanying graph 1 0 0 2 0 1 3 1 5 4 3 2 5 4 3 2 1 ST 543 2 1 2 3 4 5 1 N 2 3 5 X

with a circles are congruent are congruent Radii

3x 4 3 Find the area of the composite figure 2X x 1

Calculator A cosine function has a period of 5 a maximum value of 20 and a minimum value of 0 The function is not a reflection of its parent function over the x axis Which function could be the function described f x 10 cos 5x 10 O f x 10 cos 5x 10 f x 10 cos 2x 10 O O f x 10 cos x 10 1 2 3 4 5 Next

5 North C 104 33 135 Points A B and C are at sea level A is 104 m from C on a bearing of 064 Bis 135 m from C on a bearing of 122 a Calculate AB b Calculate the bearing of A from B c A boat T travels in a straight line from C to B Calculate the shortest distance of T from A during this journey d C is a point at the base of a vertical cliff D is the point on the top of the cliff vertically above C The angle of depression of B from D is 27 B

10 The diagram shows two circular discs with centres A respectively They lie and B of radii 11 cm and 7 cm on a straight line MPQN and touch each other at R such that ARB is a straight line M 11 cm 18 R B 7 cm P 17 5 Q i Show that ZPAB is approximately 77 2 ii Hence find the area of the shaded region N

A parking lot has the shape of a parallelogram see figure The lengths of two adjacent sides are 70 meters and x 120 meters The angle between the two sides is 70 What is the area of the parking lot Round your answer to one decimal place m 70 4411 40 Show Transcribed Text C To determine the distance between two aircraft a tracking station continuously determines the distance to each aircraft and the angle A between them see figure Determine the distance between the planes when A 40 b 35 miles and c 22 miles Round your answer to one decimal place

Find the following expressions using the graph below of vectors u v and w To enter vectors use angular brackets and 1 u v 2 2u w 3 3v6w 3 2 W H

1 B KX E DEF ACB geninin y kseklik ayaklar n n olu turdu u gensel b lgedir FD 12 cm ED 8 cm FE 7 cm D C Yukar daki verilere g re KE x ka cm dir A 1 4 B 2 C 2 4 D 2 8 E 3

The building cost is 110 per square foot and the district s budget for building the entire school is 48 034 494 Each wing is estimated to cost 12 008 624 Complete the table to determine the area of the high school wing and the cost to build it for different values of x How large can x be for the wing to still fit within the guidelines for high schools of 349 00C square feet and be within the district s budget Value for x 0 5 10 Length of the wing Width of the wing Total area of the wing Cost to build Within Budget

Find the measure ZBCD in the following parallelogram A B X 2x mZBCD C 0 D

A company makes paper labels for cans of soup As shown below each can is in the shape of a cylinder with a height of 8 cm and a radius of 3 cm The paper abel is wrapped around the can and covers only the side of the can not the top or bottom If the company makes 15 labels how many square centimeters of paper will be needed Use 3 14 for and do not round your answer 3 cm 8 cm 0cm X

Find the surface area of this triangular prism Be sure to include the correct unit in your answer 10 cm 24 cm 26 cm 20 cm 0 cm X cm cm

SA 20 ft ft 5 ft 25 ft 5 ft 25 ft 5 ft

The perimeter of a triangle is 60cm The length of one side is 5cm more than the length of the shortest side and the length of the other side is 7 more than twice the shortest side 20 Develop algebraic expressions for each side of the triangle based upon the description Shortest Side a Length of Middle Side Input your answers WITHOUT SPACES 21 Length of Longest Side Input your answers WITHOUT SPACES 22 What is the length of the shortest side Shortest Side cm

Match the polygon below with the correct name A N gon Undecagon Heptagon Nonagon Triangle Pentagon B the correct name

4 What would be the best way to label this polygon 5 Find x

in the blanks to complete the ratios leg to leg 1 leg to hypotenuse leg to leg to hypotenuse

2 Plug in the information into the Distance Formula D x2 x1 Y2 y Distance Use button to input the equation Input your answer WITHOUT spaces

Which of the following is true about AB in the figure given A 5 C 15 17 B OAB is a secant to the circle C OAB is a tangent to the circle C OAB is a chord to the circle C OAB is NOT a tangent to the circle C

Question 4 Points 2 A rectangular plot of land is 40 feet long and 25 feet wide How long is a walkway along the diagonal O 46 17 feet O 47 17 feet O 45 17 feet O 44 17 feet

Question 5 The radius of a cylindrical tank is 12 ft and its surface area is 1250 sq ft Find the height of the tank O 4 ft O 5 ft O 6 ft Points 3 O 7 ft

Question 1 There is a circular garden enclosed by a square field The area of the square field is 81 sq cm Find the largest area of the circular garden enclosed by a square field Points 3 63 585 sq cm 64 585 sq cm 65 585 sq cm 66 585 sq cm

Question 7 Points 2 What three dimensional figure models the fish tank O Sphere O Rectangular prism O Square pyramid

The units are in inches 8 Hint do not calculate the area of the base of the cone SA in

6 Find the volume of the box whose length width and height are given respectively 14 mm 3 mm and 6 mm V mm 3

3 Find the surface area of the following solid The units are in kilometers SA 25 130 km

4 Find the volume of the cylinder below 6 cm cm

2 1 4 3 2 10 1 M 234 3 4 567 6 7 J 2 3 The slope of LK is L Select The slope of ML is Select Analyze the algebraic properties of Quadrilateral 2 The slope of MJ is Select The slope of JK is Select 45 The length of MJ is Select The length of ML is Select The length of LK is Select The length of JK is Select 7 8 9 10 K X

A kite by definition has 2 sets of consecutive congruent sides Using this definition let s prove that the diagonals of a kite are perpendicular Start by completing the diagonal constructions in this Geometry Tool B Given kite FGHJ Prove FHL GJ Statement FGHJ is a kite FG FJ G HG HJ F is equidistant from G and J F is on the perpendicular bisector of GJ H H is equidistant from G and J H is on the perpendicular bisector of GJ FH GJ FH is the perpendicular bisector of GJ Select Select Select Select Select Select Select Select Select Reason O

Which circle corresponds to x 2 y 3 36 10 10 B 6 D C

4 Find the surface area of the figure below The units are in inches SA 8 15 8 E

8 ft SA 12 ft 7 Find the surface area of the figure 22 ft 8 Explain the process you went through to figure out the total surface area of the penta B i Font Family Waiting for api agilixbuzz com AA A

6 Find the surface area of the figure below The units are in centimeters SA 14 7 cm

In the figure below the altitude CD creates three right triangles That means each of the segments are special Please match each segment with what makes it special A None of these Hypotenuse of triangle ABC Geometric mean of BD and AD Geometric mean of AB and DB D C Choose Choose Choose Choose B

4 nap x 2 8 3x 2x 4

10 Given m 3 54 mAB x Find mAB 2 points D 3 X B A