Area Questions and Answers

A rectangular paperboard measuring 20 in long and 12 in wide has a semicircle cut out of it as shown below What is the perimeter of the paperboard that remains after the semicircle is removed Use the value 3 14 for x and do not round your answer Be sure to include the correct unit in your answer 12 in 20 in in X in2 3 in

Find the area of the figure Sides meet at right angles 3 in 3 in 3 in 3 in 17 7 in 3 in 7 in 9 in

24 In the diagram below of circle O tangent AB is drawn from external point B and secant BCOE and diameter AOD are drawn E B If mZOBA 36 and OC 10 what is the area of shaded sector DOE 3 1 3 10T 10 2 37 4 15

9 AABC is right angled at A and has AB AC Point D is on AC so that AB AD Point L is the midpoint of AD Let P be the point on the circumcircle of AADC so that ZAPB 90 a Prove that B P L and A are concyclic b Prove that LLPC 90

Find the volume of the figure below to the nearest millimeter Use the it in your calculator Be sure to label the unit 6 mm 12 mm 12 mm 7 mm 12 mm 12 mm 6 mm

A fish tank has a volume of 8 3 tt Use the table of conversion facts to find out how many gallons of water it would take to completely fill the fish tank Round your answer to two decimal places Conversion facts for volume and 1 cubic yard yd 201 97 g 1 cubic foot 7 48 galle 231 cubic inches in I gallon Note that means is approximately equal

Given that m ABC 15 find m BCD A E D C diagram is not drawn to scale m BCD B

ind the area of the regular pentagon below Round to the nearest meter Be sure to label the unit 4 9 m 7 1 m

0 t A 0 0 2 3 1 00 0 Compute e by summing the power series

8 m Perimeter Area 3 m 7 m 5 m I xm m Question Help Message instructor

12 m 2 m Perimeter Area 10 m 4m m E Question Help Worked Example 11 Video 1

A rectangular swimming pool has a length of 32 feet a width of 11 feet and a depth of 6 feet Round answers to the nearest hundredth as needed a How many cubic feet of water can the pool hold cubic feet b The manufacturer suggests filling the pool to 95 capacity How many cubic feet of water is this cubic feet

Find the perimeter and area of the figure pictured below 8 m Perimeter H Area 3 m fr 5 m m m Question Help Message instructor

Find and then AB and BC 4x 7 A X B AB BC H 7x 8 Note Always make sure the value of a produces positive lengths C

A student government class has 20 students Four students will be chosen at random to represent the school at a city council meeting Is this a permutation or combination Explain How many different ways can 4 students be chosen from a group of 20

The shaded area of the figure may be found by subtracting the area of the unshaded portion from the total area of the figure Use this approach to find the area of the shaded portion 29 ft 6 ft 10 ft 18 ft a triangle within a trapezoid

There are 7 unique names in a bowl In how many orders can 2 names be chosen Hint The word orders implies that each unique order of two names is counted as a possibility

There are 8 finalists in the 100 meter dash at the Olympic Games At the end of the 100 meter dash 3 medals will be given to the 1st place 2nd place and 3rd place winner Suppose 3 of the 8 finalists are from the United States and that all finalists are equally likely to win What is the probability that the United States will win all 3 medals in this event

5 A closed circular upright Cylinder with a height of 2 units has a the surface area is 307 square r units How many cubic units is the volume of this cylinder A 15t B 16t C 18t D 20t E 24tg

Find the area of the parallelogram The area is in 2 4 in 6 2 in 7 in

Find the area of the triangle Area Simplify your answer

Categorize the following graph as linear increasing linear decreasing exponential growth or exponential decay Snake population P f 200 185 171 157 143 128 114 100 86 71 57 43 29 14 A Exponential decay OB Linear increasing OC Linear decreasing 6 8 2 4 Time t years P t X

Given the proof below and that Statement 4 is 1 23 23 22 by the reason substitution What is reason 5 Prove Vertical Angles 3 2 Given 21 and 22 are vertical angles Prove 41 42 Statements 1 41 and 42 are 2 3 4 vertical angles 5 41 22 Reasons 2 Definition of Linear Pair 3 4 5

What is the most specific name for the figure 14 10 9 110 110 70 70 74 Parallelogram Isosceles Trapezoid Trapezoid Rhombus

Listen Find UH if HL 7 W OOC 3 5 21 14 10 K I H U V

Which is an alternate interior angle to 24 A EXTERIOR INTERIOR D EXTERIOR H E 6 3 1 B G 2 4 F

Which of the following relationships is true Select one O a cos A sec A 1 b c sin A cosec A 1 sec A cos A 1 Od sec A cot A 1

The diagram shows rectangle ABCD with diagonal BD A D 30 12 B What is the perimeter of rectangle ABCD to the nearest tenth 1 28 4 2 32 8 3 48 0 4 62 4

Find the volume of the given prism Round to the nearest tenth if necessary 17 m 2 m 8 5 m O 1 m 3 O 17 m 17 m3 3 34 m 1 m

Find the area of the trapezoid Leave your answer in simplest radical form 45 9 cm 07 cm O 81 cm O 94 5 cm O 31 5 cm 5 cm Not drawn to scale 2 cm

Find the area The figure is not drawn to scale 6 5 yd O 15 yd O 13 yd 30 yd 3 yd 10 yd

A jewelry store buys small boxes in which to wrap items that they sell The diagram below shows one of the boxes Find the lateral area and the surface area of the box to the nearest whole number 1 66 cm O 14 cm 70 cm 266 cm O 35 cm Not drawn to scale 2 2 35 cm 364 cm O 35 cm 35 cm 266 cm 2 2 O 70 cm 364 cm 2 2 7 cm

Find the lateral area of the cone to the nearest whole number 40 m 60 m Not drawn to scale O 3770 m 2 O 7540 m O 4712 m

The trapezoids are similar The area of the smaller trapezoid is 709 m Find the area of the larger trapezoid to the nearest whole number 27 m Not drawn to scale O 1521 m 11 m O 729 m 39 m C

Are the triangles similar How do you know 30 4 84 6 O no O yes by SSS O yes by AA O yes by SAS 84 6

4 y you 44 y 0 1 y 0 0 y 0 2 e

Gumball A gumball has a radius that is 25 mm The radius of the gumball s spherical hollow core is 21 mm What is the volume of the gumball if you do not include its hollow core Answer stion Help Read Viden mm Use 3 14 or the key on your calculator Round your answer to the nearest tenth if necessary

Find the volume of the cone 12 cm r 8 cm V cm

Directions Using a five sided spinner conduct an experiment to compare experimental probability with theoretical probability Using a five sided spinner you construct or a digital five sided spinner complete the following steps write the probabilities as a fraction 1 What is the theoretical probability of spinning yellow

Find a10 of a geometric sequence if the first few terms of the sequence are given by 2 4 8 16 Select one a 1024 Ob 1024 OC 1460 O d 518

If the given sequence is a geometric sequence find the common ratio 64 32 16 8 4 2 Select one O a 2 b 2 O c 1 2 O d 4

assity function graph as a linear function nonlinear function or relation non O A Linear function O B Nonlinear function C Relation

For loga y to be defined a y 0 b a 0 a 1 Select one O True False

2 3 05 Ibu find the value EN 0 41x 4 12 540 0 of LAY Solve its

Find the measurement indicated in each paral 13 EW x 3 WG 2x 14 Find EW E F W D G

Find the values of the variables in the parallelogram The diagram is not to scale 31 96 O x 31 y 53 to z 127 Ox 31 y 53 z O x 53 y 53 z 127 O x 53 y 31 z 96 96

H Jeremy is painting this portion of the basketball court How many square feet will he paint E 13 ft 6 ft Maneuvering the Middle LLC 2017

Find the circumference Leave your answer in terms of 547 in O 187 in 324 in O 367 in 18 in

Find m1 and m23 in the kite The diagram is not to scale 17 C Om21 17 m23 73 Om21 73 m23 17 Om21 73 m23 73

Convert the following to exponential form p 1 log2 4y Select one a 2P 4y Ob 2P 1 y c 2P 1 4y O d p 1 2 4y