Question

James is making a blueprint of a swimming pool. The pool has a length of 160 ft and a width of 80 ft. He draws a length

of 16 cm to compare to the swimming pool. What is the area of his blueprint?
A 512 cm
B 128 cm
C 64 cm
D 256 cm

Answer 1

The area of the blueprint is 128,000 cm2.

Step-by-step explanation:

To find the area of the blueprint, we need to calculate the scale factor first. The scale factor is determined by dividing the actual length of the pool by the length on the blueprint. In this case, the actual length of the pool is 160 ft and the length on the blueprint is 16 cm. Therefore, the scale factor is 160 ft / 16 cm = 10 ft/cm.

The area of the blueprint can be found by multiplying the actual length of the pool by the actual width of the pool, and then multiplying by the scale factor squared. The actual width of the pool is 80 ft. So, the area of the blueprint is (160 ft * 80 ft) * (10 ft/cm)2 = 128,000 cm2.