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The length of a rectangle is 5 inches longer than the width. The rectangles perimeter is 66in. What’s the length and width?

User Guapo
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1 Answer

6 votes

Answer:

Width is 14, Length is 19

Explanation:

Step 1: Convert words into an expression

The length of a rectangle is 5 inches longer than the width.

L = 5 + w

Step 2: Plug into the formula

P = 2w + 2L

66 = 2w + 2(5 + w)

66 = 2w + 10 + 2w

66 = 4w + 10

Step 3: Solve for width

4w + 10 = 66

4w + 10 - 10 = 66 - 10

4w / 4 = 56 / 4

w = 14

Step 4: Find the length

L = 5 + w

L = 5 + 14

L = 19

Answer: Width is 14, Length is 19

User Troyen
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3.4k points