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

Answer 1

let increase be x ft
(12+x)(14+x)=288
168+12x+14x+x2=288
168+26x+x2=288
x2+26x-120=0. (2*2*3*2*5=120)
solve it to get the value of x.