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

Question

asked Jul 24, 2018 189k views

2 Answers

Ppovoski · Answer 1 · 2018-07-29T19:59:41+0000

Dimensions of rectangle = 12 + x and 14 + x

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

x^2 + 26x + 168 = 288

x^2 + 26x - 120 = 0

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

x=-30, x =4

since 4 is positive

the dimensions increased by 4 feet

check the answer

12+4 = 16

14 +4 = 18

18*16 =288