Scale Drawings and Area

A rectangle is reduced by a scale factor of 1/4.

(4/16)2 12/192 (3/12)2

The scale model of a rectangular garden is 1.5 ft by 4 ft. The scale model is enlarged by a scale factor of 7 to create the actual garden. What is the area of the actual garden?

294ft2

A model of a rectangular patio at a landscaping business will be enlarged by a scale factor of 2 when it is installed in a customer's back yard. The area of the new enlarged patio will be 160 square feet. Which is the area of the landscaper's model?

40 sq ft

The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio will be 15 feet by 20 feet. Which is the area of the scale model?

48 square feet

A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of 1/5 to be placed near a door. What is the area of the reduced rug, in square feet?

5

A scale model of a rectangular building lot measures 7 feet by 5 feet. If the actual house will be built using a scale factor of 12, what is the area of the actual building lot?

5,040 square feet

The rectangle below has been enlarged by a scale of 3.5. [Not drawn to scale] What is the area of the enlarged rectangle?

588 square units

A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide. What is the area of the reduced carpet?

6 square feet

Beth enlarged the triangle below by a scale of 5.She found the area of the enlarged triangle. Her work is shown below. 1/2(4)(3.5)(5)=35cm2 What was Beth's error?

She should have multiplied by . 1/2(4)(3.5) BY 52

A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?

14 sq ft

The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of 1/4 is used to make a scale model of the dining room, what is the area of the dining room in the scale model?

18 square feet

A rectangle is enlarged by a factor of 6.What is the area of the enlarged rectangle?

720 in 2 Take Area of 20 on the Original brake down the length and width width = 4 length 5 (L X W)=20 Then take the scale factor 6 times each the length and width width 4 x 6 = 24 length 5 x 6 = 30 24 x 30 = 720 in 2

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.Which statements apply to the enlargements? Select three options.

The area of the second enlargement is 1,944 square inches. The area of the second enlargement is times the original area. The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.