A backyard is 40.5 feet long and 25 feet wide. In order to install a pool, the yard needs to be reduced by a scale of 1/3 What is the area of the reduced yard?

Question

Mathematics

Kendall Jefferson

3 March, 00:32

A backyard is 40.5 feet long and 25 feet wide. In order to install a pool, the yard needs to be reduced by a scale of 1/3 What is the area of the reduced yard?

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Bell · Answer 1

To calculate for the area of the reduced yard, we may opt to calculate for the new dimensions which were already multiplied by the scale factor.

Length = (40.5 ft) x (1/3) = 13.5 ft

Width = (25 ft) (1/3) = 25/3 ft

Then, multiply the dimensions in order to get the answer for the area of the yard.

Area of the yard = (13.5 ft) (25/3) = 112.5 ft²

Thus, the final area of the yard is equal to 112.5 ft².