# Geometry

## Educators

EM
GC
SD
JG

### Problem 1

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 2

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 3

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 4

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 5

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 6

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 7

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 8

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 9

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 10

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 11

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 12

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 13

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 14

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 15

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

Amrita B.

### Problem 16

Exercises $1-16$ refer to rectangles. Complete the tables. $p$ is the perimeter.

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### Problem 17

Consecutive sides of the figures are perpendicular. Find the area of each figure.

Amrita B.

### Problem 18

Consecutive sides of the figures are perpendicular. Find the area of each figure.

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### Problem 19

Consecutive sides of the figures are perpendicular. Find the area of each figure.

Amrita B.

### Problem 20

Consecutive sides of the figures are perpendicular. Find the area of each figure.

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### Problem 21

Consecutive sides of the figures are perpendicular. Find the area of each figure.

Amrita B.

### Problem 22

Consecutive sides of the figures are perpendicular. Find the area of each figure.

EM
Elisa M.

### Problem 23

In Exercises 23 and 24 find each area in terms of the variables.

Amrita B.

### Problem 24

In Exercises 23 and 24 find each area in terms of the variables.

GC
Gianna C.

### Problem 25

Find the area of a square with diagonals of length $d$ .

Amrita B.

### Problem 26

The length of a rectangle is 12 $\mathrm{cm}$ more than its width. Find the area of the rectangle if its perimeter is 100 $\mathrm{cm}$ .

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### Problem 27

A path 2 $\mathrm{m}$ wide surrounds a rectangular garden 20 $\mathrm{m}$ long and 12 $\mathrm{m}$ wide. Find the area of the path.

Amrita B.

How much will it cost to blacktop the driveway shown if blacktopping costs $\$ 11.00$per square meter? SD Sylvana D. Numerade Educator ### Problem 29 A room 28 ft long and 20 ft wide has walls 8 ft high. a. What is the total wall area? b. How many gallon cans of paint should be bought to paint the walls if 1 gal of paint covers 300$\mathrm{ft}^{2}$? Amrita B. Numerade Educator ### Problem 30 A wooden fence 6 ft high and 220 ft long is to be painted on both sides. a. What is the total area to be painted? b. A gallon of a certain type of paint will cover only 200$\mathrm{ft}^{2}$of area for the first coat, but on the second coat a gallon of the same paint will cover 300$\mathrm{ft}^{2}$. If the fence is to be given two coats of paint, how many gallons of paint should be bought? Check back soon! ### Problem 31 A rectangle having area 392$\mathrm{m}^{2}$is twice as long as it is wide. Find its dimensions. Amrita B. Numerade Educator ### Problem 32 The lengths of the sides of three squares are$s, s+1,$and$s+2$If their total area is$365 \mathrm{cm}^{2},$find their total perimeter. JG Joshua G. Numerade Educator ### Problem 33 Derive a formula for the area of the triangle shown by using the formula for the area of a rectangle. Amrita B. Numerade Educator ### Problem 34 The diagonals of a rectangle are 18$\mathrm{cm}$long and intersect at a$60^{\circ}$angle. Find the area of the rectangle. Check back soon! ### Problem 35 a. Suppose you have 40$\mathrm{m}$of fencing with which to make a rectangular pen for a dog. If one side of the rectangle is$x \mathrm{m}$long, explain why the other side is$(20-x) \mathrm{m}$long. b. Express the area of the pen in terms of$x$. c. Find the area of the pen for each value of$x : 0,24,6,8,10,12,14,16,18,20 .$Record your answers on a set of axes like the one shown. d. Give the dimensions of the pen with the greatest area. Check back soon! ### Problem 36 A farmer has 100$\mathrm{m}$of fencing with which to make a rectangular corral. A side of a barn will be used as one side of the corral, as shown in the overhead view. a. If the width of the corral is$x$, express the length and the area in terms of$x$. b. Make a graph showing values of$x\$ on the horizontal axis and the corresponding areas on the vertical axis.
c. What dimensions give the corral the greatest possible area?

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### Problem 37

Draw a rectangle. Then construct a square with equal area.

Amrita B.