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2 years ago

The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 110 inches. Find the length and the width.

Mathematics

1 answer:

nataly862011 [7]2 years ago

6 0

Answer:

Length = 43 inches
Width = 12 inches

Step-by-step explanation:

Perimeter of a rectangle = 2 * ( L + W)

The length of a rectangle is 5 inches less than 4 times the width.

Assume the width is x. Length is:

4x - 5

Equation is therefore:

2 * (4x - 5 + x) = 110

4x - 5 + x = 110/2

5x - 5 = 55

5x = 55 + 5

x = 60/5

x = 12 inches

If width is 12 inches, then length is:

= 4x - 5

= 4 * 12 -5

= 43 inches

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