Question

Scrapbooking. A photo is cut so that its length is

2 cm longer than its width. It is then centered on
a background to form a 3-cm borderaround the
photo. The area of the background paper is 168 cm
What are the dimensions of the photo?

Answer 1

length and width of the photo are: w = 6cm l = 8cm

Explanation:

Area = 168cm^2

Area = w • l

168 = (x + 3 + 3) • (x + 2 + 3 + 3)

168 = (x + 6) • (x + 8)

expand

168 = x^2 + 14x + 48

subtract 168 from both sides

0 = x^2 + 14x - 120

simplify

0 = (x - 6) • (x + 20)

x = 6 or -20

since we are dealing with a measurement of a physical object x > 0

x = 6cm

w = x = 6cm

l = x+2 = 8cm