Elliot, the architect, is planning a new building project He has a rectangular plot of land on which to build. He knows that the length is five more meters than the with and that the perimeter is 90 meters. What are the dimensions of the rectangle?

Question

Mathematics

Ana Liu

1 February, 01:43

Elliot, the architect, is planning a new building project He has a rectangular plot of land on which to build. He knows that the length is five more meters than the with and that the perimeter is 90 meters. What are the dimensions of the rectangle?

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Answers (1)

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Izabelle Stein · Answer 1

Answer:the length of the land is 25 meters.

the width of the land is 20 meters.

Step-by-step explanation:

The land on which Elliot wants to build is rectangular in shape.

Let L represent the length of the land.

Let W represent the width of the land.

He knows that the length is five more meters than the width. This means that

L = W + 5

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2 (L + W)

He knows that the perimeter is 90 meters. This means that

2 (L + W) = 90

L + W = 90/2 = 45

Substituting L = W + 5 into L + W = 45, it becomes

W + 5 + W = 45

2W + 5 = 45

2W = 45 - 5 = 40

W = 40/2 = 20

L = W + 5 = 20 + 5 = 25