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

Question

2 years ago

11

ow much were the dimensions increased?

2 answers:

kicyunya [14] · Answer 1 · 2022-04-17T16:34:58+03:00

6 0

Its 16 by 18 so by 4 ft

Cerrena [4.2K] · Answer 2 · 2022-04-17T14:54:23+03:00

3 0

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