a rectangular bedroom is 7 feet longer than its width. Its area is 228 feet^2. what is the width of the room?

2 answers

A bedroom is 7 feet longer than its width.

This mean

L = 7 + W

A = L * W = 228

( 7 + W ) * W = 228

7 W + W ^ 2 = 228

W ^ 2 + 7 W = 228 Subtract 228 to both sides

W ^ 2 + 7 W - 228 = 228 - 228

W ^ 2 + 7 W - 228 = 0

The solutions are :

W = 12 and W = - 19

Width can't be negative so W = 12 ft

L = 7 + W = 7 + 12 = 19 ft

A = L * W = 19 * 12 = 228 ft ^ 2
thank you so much Bosnian.. :-)