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Solving Scale Problems Using Proportions Answers

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The perimeter of the original rectangle on the left is 30 meters. The perimeter of the reduced rectangle on the right is 24 meters. Not drawn to scaleWhat is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.

Question illustration
A
5 meters
B
8 meters
C
10 meters
D
12 meters
2
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Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons.Write a proportion. Cross multiply. Solve for x. Not drawn to scale What error did Paolo make in his solution?

Question illustration
P
Paolo set up an incorrect proportion.
P
Paolo made an error when he cross multiplied the proportion.
P
Paolo divided incorrectly when he solved for x.
P
Paolo multiplied instead of divided when he solved for x.
3

Theo found the driving distance from Glacier National Park to Yellowstone Park to be 448 miles. Theo used a map that had a ratio of . How many centimeters is the distance on the map? Round to the nearest unit if necessary.

Question illustration
A
4 centimeters
B
7 centimeters
C
64 centimeters
D
90 centimeters
4

Jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be?

A
460 pixels
B
945 pixels
C
1,680 pixels
D
1,860 pixels
5

Malik considers the enlargement of the trapezoid. Not drawn to scaleWhat is the correct cross product that he should use to solve for the missing dimension?

Question illustration
A
(10)(25) = 18x
B
(10)(18) = 25x
C
(18)(25) = 10x
D
(18)(10) = 18x
6

Parker is planning to build a playhouse for his sister.The scaled model below gives the reduced measures for width and height.Not drawn to scaleThe yard space is large enough to have a playhouse that has a width of 3.5 meters. If Parker wants to keep the playhouse in proportion to the model, what cross multiplication of the proportion should he use to find the height?

Question illustration
A
(3.5) (10) = 3.5 x
Option A
B
(3.5) (22) = 3.5 x
Option B
C
(10) (3.5) = 22 x
Option C
D
(1) (22) = 3.5 x
Option D
7

The small rectangle was enlarged to create the big rectangle. Not drawn to scaleWhat is the missing measure on the big rectangle?

Question illustration
6
6 feet
1
10 feet
2
24 feet
3
30 feet
8

The perimeter of the original rectangle is 16 feet. Not drawn to scaleWhat is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary.

Question illustration
A
22.3 feet
B
31 feet
C
32 feet
D
42.7 feet
9

Consider the enlargement of the pentagon. Not drawn to scaleWhat is the value of x, rounded to the nearest tenth?

Question illustration
A
2.1 centimeters
B
3.3 centimeters
C
7.0 centimeters
D
15.0 centimeters
10

Fiona enlarges a parallelogram that has a perimeter of 17 meters. Not drawn to scaleWhat is the perimeter of the enlarged parallelogram?

Question illustration
A
30 meters
B
73.5 meters
C
102 meters
D
105 meters
11

A triangle is reduced. Not drawn to scaleWhat is the perimeter of the reduced triangle, in inches?

Question illustration
A
15
B
21
C
36
D
48
12

A triangle is reduced. Not drawn to scaleWhat is the perimeter of the reduced triangle, in inches?

Question illustration
1
15
2
21
3
36
4
48
13

Julio considers the reduction of the triangle. Not drawn to scaleWhat is the correct cross product that he should use to solve for the missing dimension?

Question illustration
A
(8)(12) = 21x
B
(8)(21) = 12x
C
(12)(8) = 12x
D
(12)(21) = 8x
14

The small rectangle was enlarged to create the big rectangle. Not drawn to scaleWhat is the missing measure on the big rectangle?

Question illustration
A
6 feet
B
10 feet
C
24 feet
D
30 feet
15

Which side of the original parallelogram corresponds to the y-centimeter side of the enlarged parallelogram? Explain how you know.Not drawn to scale The ____-centimeter side corresponds to the y-centimeter side.

Question illustration
A
10 cm because both are the shorter sides of the parallelogram
B
10 cm because both are the longer sides of the parallelogram
C
15 cm because both are the shorter sides of the parallelogram
D
15 cm because both are the longer sides of the parallelogram
16

Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced length is 9 meters. Not drawn to scaleWhat is the width of the original rectangle?

Question illustration
A
20 meters
B
24 meters
C
36 meters
D
48 meters
17

Marnie solved the proportion to find the value of x in the enlarged parallelogram. Not drawn to scaleWhat is the value of x?

Question illustration
A
x = 255
Option A
B
x = 300
Option B
C
x = 340
Option C
D
x = 450
Option D
18

Consider the enlargement of the pentagon. Not drawn to scaleWhat is the value of x, rounded to the nearest tenth?

Question illustration
2
2.1 centimeters
3
3.3 centimeters
7
7.0 centimeters
1
15.0 centimeters

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