Question

Colette measured a house and its lot and made a scale drawing. She used the scale 3 inches : 10 feet. The backyard is 40 feet long in real life. How long is the yard in the drawing?

Answer 1

To find the length of the backyard in the scale drawing, set up a proportion based on the scale 3 inches : 10 feet and solve for x, resulting in the backyard being 12 inches long in the drawing.

Step-by-step explanation:

To determine the length of the backyard in Colette's scale drawing, you need to set up a ratio using the scale 3 inches : 10 feet. This means for every 3 inches on the drawing, the actual length is 10 feet. Therefore:

Scale: 3 inches / 10 feet

Actual backyard length: 40 feet

To find the scale length of the backyard, set up a proportion:

3 inches / 10 feet = x inches / 40 feet

Cross-multiply to solve for x:

10 feet * x inches = 3 inches * 40 feet
10x = 120
Divide both sides by 10 to isolate x:
x = 12 inches

Thus, the length of the backyard on the scale drawing is 12 inches.