Question

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the length and width by the same amount. Find the number of inches by which each dimension must be increased.

Answer 1

it is 10 inches

Explanation:

Answer 2

Explanation:

let length and width be increased by x>0

(10+x)(5+x)=6×10×5

50+10 x+5x+x²=300

x²+15x-250=0

x²+25 x-10x-250=0

x(x+25)-10(x+25)=0

(x+25)(x-10)=0

x=-25(rejected),10

so x=10

so both the dimensions should be increase by 10 inches.