Solving Scale Problems Using Proportions

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

x =450

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 scale The 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 heigh

(10)(3.5) =22x

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

(18)(25) = 10x

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

(8)(21) = 12x

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.

15 cm because both are the longer sides of the parallelogram

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 scale What is the width of the original rectangle?

24 meters

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

3.3 centimeters

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

30 feet

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

32 feet

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

36

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 scale What is x, the width of the original rectangle on the left? Round to the nearest hundredth if necessary.

5 meters

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?

6 feet

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 (5centimeters/ 320miles). How many centimeters is the distance on the map? Round to the nearest unit if necessary.

7 centimeters

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?

945 pixels

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?

Paolo made an error when he cross multiplied the proportion. proportion.