Question

The dimensions of an in-ground swimming pool are 16 feet by 40 feet. A landscape has drawn a scale model of the pool on a large piece of paper. If the longest side of her drawing is 12.5 inches, how long is the other side of the drawing?

a) 6.25 inches
b) 25 inches
c) 10 inches
d) 31.25 inches

Answer 1

To find the length of the other side of the drawing, set up a proportion using the given scale factor.

Correct option is d.

Step-by-step explanation:

To find the length of the other side of the drawing, we can set up a proportion using the given scale factor. Since the longest side of the drawing is 12.5 inches and the actual length of the pool is 40 feet, we have the following proportion:

12.5 inches / x inches = 40 feet / 16 feet

We can cross-multiply to solve for x:

• 40 feet * 12.5 inches = 16 feet * x inches
• 500 inches = 16 feet * x inches
• x inches = 500 inches / 16 feet
• x inches = 31.25 inches

Therefore, the length of the other side of the drawing is 31.25 inches, so the answer is (d) 31.25 inches.