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marishachu [46]
3 years ago
13

The length of a rectangle is seven times its width. The area of the rectangle is 175 square centimeters. Find the dimensions of

the rectangle.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

<h3>The length is 35cm</h3><h3>The width is 5cm</h3><h3 />

Step-by-step explanation:

Area of a rectangle = l × w

where

l is the length

w is the width

The length is seven times the width is written as

l = 7w

Area of the rectangle = 175 cm²

7w × w = 175

7w² = 175

Divide both sides by 7

w² = 25

Find the square root of both sides

w = √25

w = 5cm

But l = 7w

l = 7(5)

l = 35cm

The length is 35cm

The width is 5cm

Hope this helps you.

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