Question

Ming’s rug has a length that is 2 times it’s width. The area of the rug is 8 square feet. What is the length and width of ming’s rug?

Answer 1

length = 4 feet and width = 2 feet

let w represent the width then length = 2w ( 2 times the width)

Area = length × width = w × 2w = 8, thus

2w² = 8

divide both sides by 2

w² = 4

take the square root of both sides

w =√4 = 2

width = 2 feet and length = 2 × 2 = 4 feet

Answer 2

The area of the rectangular shape can be found be the formula

Area= length × breadth

The breadth of the rug is 2 feet and the length of the rug is 4 feet.

If the breadth is x feet then the length would be 2x.

Putting the values

Area= length × breadth

8= 2x × x

8= 2x²

8/2=x²

√x² = √4

x= 2 feet.

The breadth of the rug is 2 feet and the length of the rug is 4 feet.

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