Asked by cdcaea

The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What are the dimensions of the rectangle?
Answered by henry2,
Width = W.
Length = W+1 cm.

2W + 2(W+1) = 34.
W = ?
W+1 = ?
Answered by Bosnian
L = Length

W = Width

The length is 1 cm longer than the width means:

L = W + 1

The perimeter of a rectangle:

P = 2 W + 2 L

P = 2 ( L + W )

Replace P = 34 and L = W + 1 in this equation

34 = 2 ( W + 1 + W )

34 = 2 ( 2 W +1 )

Divide both sides by 2

17 = 2 W + 1

Subtract1 to both sides

16 = 2 W

2 W = 16

Divide both sides by 2

W = 8 cm

L = W + 1 = 8 + 1 = 9 cm

P = 2 ( L + W )

P = 2 * ( 9 + 8 )

P = 2 * 17 = 34 cm


Answered by cdcaea
w=8 ? w+1=9? @henry2
Answered by oobleck
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