Question

The scale on a blueprint is 1 inch : 9 feet. The area of the basketball court is 58 square inches. What is the actual area of the basketball court?

Answer 1

4698 sq feet

Explanation:

Given scale 1" : 9'

= 1" : (9 × 12)"

= 1 : 108

area scale = 1² : 108²

= 1 : 11664

blueprint : actual = blueprint : actual

58 sq inch : actual = 1 : 11664

actual = (58 × 11664) sq inch

= (676512 ÷ 12²) sq feet

= 4698 sq feet