A picture frame consists of two rectangular strips of wood, each having a width of 1 inch on all sides. If the area of the inner light gray strip is 100 in^2, then compute the area of the outer dark gray strip in square inches.

Guest Dec 6, 2018

edited by
Guest
Dec 6, 2018

#1**0 **

For the light gray frame of width 1

2 x l x 1 + 2 x w x1 = area = 100

2l = 100- 2w

now increase l and w by 2 each

2(l+2) x 1 + 2(w+2) x 1 = ?

2l + 4 + 2w +4 =? sub 2l = 100-2w

100-2w + 4 + 2w +4 =?

100+8 = 108 sq inches

ElectricPavlov Dec 6, 2018

edited by
Guest
Dec 6, 2018