Area Questions and Answers

Parallelogram ABDE is made up of Rectangle ACDF Triangle ABC and Triangle FDE The rat the length of CD to the length of BC is 81 Triangles ABC and FDE are identical and the heig of each triangle is 7 inches The area of Triangle ABC is 14 square meters Find the area of Parallelogram ABDE 132 A 2145 B CH 7 in 32 in F D E 224 252 22

11 A pyramid is 9 feet tall Each side of the square base has a length of 14 feet Find the volume of the pyramid

3 5 m 21 m Show Transcribed Text Please find the shaded area The dotted line is the shaded area And

14 Find the area of the shaded sector 49 6 175x 4 112x 9 27x 2 m m m m 30

A plane intersects the cylinder horizontally and is parallel to the base of the cylinder What is the shape of the cross section

5 In circle A below AC 1 in and m BAD 70 What is the area of the aded sector a b C d 18T 11 18T 7 11T 36 in 36T 7 in in in Central angle sector areer OPTAPE 29 S D B dauder 70 AI C

3 Solve for the value of x 4 G F 21 x 2 38x 5 A H

b y 3 x 5 48 Step 1 Convert to standard form standard form Step 2 Factor standard form and use Zero Product Property to find x intercepts product S 10 10 vertex 20 30 40 50 Step 3 Use the information below to graph x intercepts y intercept line of symmetry 19 16 10

A college professor asked his psychology students to complete a personality test He paid special attention to his students career goals and their greatest fears Social worker Therapist Psychiatrist Fear of snakes Fear of heights 8 6 2 7 4 3 What is the probability that a randomly selected student wants to be a therapist or psychiatrist Simplify any fractions

11 One sector has an area of 8 27 square millimeters and an arc measure of 82 What is the area of the circle that contains the same sector A 13 Find the area of the regular polygon shown below Assume the perimeter of the polygon is approximately 121 4 m 18 mm 12 Find the area of the circle shown below 5H T 14 mm 14 Find the total area of the pool shown below 20 mm A 32 mm

Nina likes to go on canoe trips and on each trip she purchases oars to keep as souvenirs Her collection of oars is organized by decade and type of wood 2010s 2020s Spruce wood Ash wood 6 2 6 4 What is the probability that a randomly selected oar was purchased in the 2010s or was made from ash wood Simplify any fractions

4 Find the area of the trapezoid shown below 11 cm 21 cm 18 cm

journalist attended a crossword puzzle competition The competition ends when a contestant has accurately completed five different crossword puzzles For his story the journalist recorded the home country and final score of each contestant United States Canada Up to 100 points Over 100 points 6 7 3 3 What is the probability that a randomly selected contestant is from Canada or scored over 100 points Simplify any fractions

The given graph shows vertical traces of a surface defined by z f x y for x 1 x 0 and a 2 6 5 4 3 2 1 a 6 5 4 3 2 1 3 4 5 6 N x 2 Identify the equation of the surface Of x y x y Of x y x y Of x y y x Of x y y r 3 x 1 x 0 4 5 J 6

O 1 3 1 2 1 6 O 1 4 Question 2 If a six sided die is rolled find the odds that the number will be a multiple of 2 2 1 2 p 2 6

20 You are planning to start a home business You decide to build a workroom in the shape of a rectangular prismin the backyard It will give you solitude to work and a place for cus tomers to see your products without disturbing your family in the house You price the mate rials needed and decide that the perimeter of the floor can be 64 ft in total Maximizing the floor area inside the workshop is your only objective What dimensions would you choose for the floor rounded to the nearest whole numbers You may know the answer already but provide a fully documented algebraic solution 5 marks

on the board What is the probability that one dart hit the white area and the other dart hit the dark gray area white area 1 2 x 16 x 16 2 64 cm Dark area 3 14 x 16 2 200 96 cm 200 96 64 136 96 cm Area of square 16 256 cm p 64 256 x 136 96 256

MANUSI Homework Members of the board of directors of an associatio N and city B The preference table for the 31 men criterion

4 In circle L the length of MN 3 7 and m ZMLN 45 Find the area shaded below Express your answer as a fraction times T L N M

1 1 Homework A family is trying to decide whether to go to Chicago C Kaccording to the following preference table Determine the Number of Votes 4 First Choice C Second Choice Third Choice ZO N 2 ZOON C 1 4 1 C N O O O N N C C

In circle V m WVX 50 and the area 5 of shaded sector T Find the length of WY X Express your answer as a fraction times TT Y V W X C

4 A circle is inscribed in the square Find the area of the shaded region Round your answer to the tenths place A4414 4 2 16 16 in 12 04 0 r 2 in 4 in 4 in unod abnor abals fan to cansertbonent autt burkolme HD 2022461 2 88 5 A shape is constructed from a rectangle whose length is 10 inches and whose width is 8 inches along with a semicircle attached at the end What is the total area of this shape Leave your answer in terms of 10 in 1 80 32 1 12 5 2 18 3 3 21 7 4 28 6 3 80 8 4 96T 8 in 4 in Challenge 6 In the following diagram a quarter circle has been constructed using an isosceles right triangle whose legs measure 8 inches Which of the following represents the area of the shaded region rounded to the nearest tenth of a square inch 8 in 8 in

8 i he triangle Round decimal answer K 1 26 33 A

71 e the triangle Round decimal answer B 85 19 47 C

6 i d the area of the triangle Round your 16 B 67 20 C

Given Universal Set U 2 3 4 5 6 7 9 Subset B What is the complement of Set B in Set U 3 4 5 9 3 6 2 4 5 7 9 2 3 4 5 6 7 9 2 4 5 7 9

CABULARY What information do you nee three angle measures the lengths of three sides two angle measures and the length of t

Given Set A 1 6 8 9 11 12 Set B 5 6 7 9 10 11 What is AUB O 1 8 12 6 9 11 1 5 6 7 8 9 10 11 12 0

Given Set A 9 10 12 Set B 3 4 6 What is the intersection of sets A and B 3 4 6 9 10 12 3 6 9 10 12 9 10 12 0

Given Set A 5 7 10 Set B 2 5 6 12 What is the intersection of sets A and B 2 5 6 7 10 12 2 6 12 5 6 7 10 12 5

Given Set A Set B 4 12 3 4 10 12 3 4 10 10 3 10 4 10 12 What is the union of sets A and B

Given Set A Set B 1 2 6 1 3 11 12 What is An B 1 1 2 3 6 11 12 3 11 12

Given Set A Set B 2 3 8 10 12 4 7 8 9 11 What is the intersection of sets A and B O 2 3 4 7 8 11 12 O 2 3 4 7 8 9 10 11 12 2 3 10 12 8

Given Set A 1 2 3 8 12 Set B 3 5 7 10 12 What is the union of sets A and B O 3 12 1 2 8 1 2 3 5 7 8 10 12 O 1 3 5 7 8 10 12

In circle N with m MNP 90 and MN 12 units find area of sector MNP Round to the nearest hundredth N M P

STION 8 n the point in polar coordinates find tw 2 4

You pick a card at random 2 3 4 5 What is P prime or factor of 100 Simplify your answer and write it as a fraction or whole nu

7 Let S be that part of the paraboloid z 1 2 y that lies above the ry plane Determine the surface area of S

Reid is designing a web page There are 3 background colors and 2 fonts to choose from Fo the logo Reid has 3 options Lastly there are 4 options for the layout How many different designs can Reid create

Jacqueline finds the surface area of the triangular prism 8 in 3 in 40 in 5 in 4 in 5 The area of one of the bases is 6 The surface area is 116 in

QUESTION 4 ctor v has initial point P and terminal Find the magnitude of vector v Find the magnitude of vector w Determine whether vector v vector w

TION 17 ert the ordered pair in pola

Given the circle below with chords JK and LM Find the length of KN Round to the nearest tenth if necessary L 9 15 N 14 M K

Finding Angle Measures Identify a pair of corresponding angles in the diagram Which of the following is a pair of corresponding an

Given the circle below with chords OP and QR Find the length of PS Round to the nearest tenth if necessary Answor 9 15 S PO R 20 B

2 What is the equation of the line tha 8 10 A 1 y 5 x 14 By 2x 26 C y 2x 6 y x 14

b U V u v 5j 7jx u v u v 5 5 5 X X webassign net u v u v 5 5 5

There are 9 red markers 5 blue markers 14 yellow markers and 8 green markers in a pencil box A marker is chosen at random replaced then another is chosen Find each probability 1 Plyellow then red

ATH 104 01 College 1 0 11 0 11 answer inction f

Complete the problems to find the annual percentage yield Use the table on p 11 From Example 1 1 National Bank offers a 10 000 certificate of deposit at 5 755 compounded monthly a sal 13 4186 Yeun Lanceica Savings offers a 25 000 certificate of deposit at 5 compounded quarterly