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The length of a rectangle is twice its width.

If the area of the rectangle is 200 yd?, find its perimeter.

User Zando
by
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1 Answer

3 votes

Answer:

The answer is 60cm

Explanation:

Perimeter of a rectangle = 2l + 2w

Area of rectangle = l × w

where

l is the length

w is the width

From the question

The length is twice its width is written as

l = 2w

Substitute this into the formula for finding the area of the rectangle

Area = 200 yd²

200 = 2w²

Divide both sides by 2

w² = 100

Find the square root of both sides

width = 10cm

Substitute this value into l = 2w

That's

l = 2(10)

length = 20cm

Perimeter of the rectangle is

2(20) + 2(10)

= 40 + 20

= 60cm

Hope this helps you

User Coding Man
by
8.4k points

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