Question

Translate to an algebraic equation then solve. 33. The length of a rectangle is six units longer than the width. Find the length and width if the perimeter of the rectangle is 60 units.

Answer 1

• length 18 units
• width 12 units

Explanation:

Let w represent the width of the rectangle. Then the length is w+6, and the perimeter is ...

P = 2(L +W)

60 = 2((w+6) +w) . . . substitute known values

30 = 2w +6 . . . . . . . .divide by 2, collect terms

15 = w +3 . . . . . . . . . divide by 2 again

12 = w

w+6 = 18

The length is 18 units; the width is 12 units.