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3 January, 09:11

WUIZ

9. The length of a rectangle is 4 inches greater than the width. The perimeter of the

rectangle is 24 inches. What are the dimensions of the rectangle?

O

A length = 12 in.; width = 8 in.

B length = 8 in.; width = 4 in

c length = 8 in.; width - 6 in.

D length = 6 in.; width = 2 in.

+3
Answers (2)
  1. 3 January, 10:41
    0
    B length = 8 in.; width = 4 in

    Step-by-step explanation:

    Given

    the length L = w + 4

    Perimeter = 24 inches

    Perimeter of a rectangle

    = 2 (L + W)

    We now have two equations.

    Equation 1: L = w + 4

    Equation 2: P = 2 (L + W)

    Substitute L as w + 4 into equation 1. And 24 for p

    Therefore

    24 = 2 (w + 4 + w)

    24 = 2 (2w + 4)

    Distribute 2 into (2w + 4)

    We have

    24 = 2 x 2w + 2 x 4

    24 = 4w + 8

    Subtract 8 from both sides

    24 - 8 = 4w + 8 - 8

    16 = 4w

    Divide both sides by 4

    16/4 = 4w/4

    4 = w

    w = 4 inches

    Now substitute 4 for w into either of the equations to get

    L.

    Using equation 1, we have

    L = w + 4

    L = 4 + 4

    L = 8 inches
  2. 3 January, 11:54
    0
    12 oak as best value
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