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The length of a rectangle is 4 meters less than twice the width. If the area of the rectangle is 240 square​ meters, find the dimensions.How many meters is the length? How many meters is the width?

User James Love
by
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1 Answer

7 votes

Length is 12 meter and width is 20 meter.

Explanation:

Let L be the length and W be the width.

The length of a rectangle is 4 meters less than twice the width.

That is

L = 2W - 4

The area of the rectangle is 240 square​ meters

That is

L x W = 240

(2W - 4) x W = 240

2W² - 4W = 240

W² - 2W - 120 = 0

(W -12 ) (W+10) = 0

W = 12 m or W = -10 m

So width of rectangle is 12 meter

Length = 2 x 12 - 4 = 20 m

Length is 12 meter and width is 20 meter.

User Liam Galvin
by
5.6k points
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