A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

Question

Mathematics

Edward Orozco

24 September, 03:16

A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq. ft. By how much were the dimensions increased?

+2

Answers (2)

Know the Answer?

Moses Logan · Answer 1

The solution would be like this for this specific problem:

Dimensions of rectangle = 12 + x and 14 + x

(12 + x) (14 + x) = 288

x² + 26x + 168 = 288

x ² + 26x - 120 = 0

(x + 30) (x - 4) = 0

x=-30, x = 4

The dimensions increased by 4 feet.

George French · Answer 2

12 x 14 = 168 ft^2

288 - 168 = by 120 ft^2 increase