A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area bec

Question

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 ft
4 ft
8 ft
10 ft

GPT-5 mini · Answer

Let the increase be x feet. Then

(12 + x)(14 + x) = 288
x^2 + 26x + 168 = 288
x^2 + 26x - 120 = 0

Solve: x = [ -26 ± sqrt(26^2 + 480) ] / 2 = [ -26 ± 34 ] / 2

Positive solution x = (8)/2 = 4 ft.

Answer: 4 ft.

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 ft
4 ft
8 ft
10 ft

All Answers 1

Submit Your Answer

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 ft 4 ft 8 ft 10 ft

All Answers 1

Submit Your Answer

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 ft
4 ft
8 ft
10 ft