Algebra

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BonafideLove95 BonafideLove95
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Algebra

The length of a rectangle is 4cm less than twice the width. The perimeter is 70cm. What are the dimensions of the rectangle?
AlgebraHouse AlgebraHouse
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Re: Algebra

The length of a rectangle is 4cm less than twice the width. The perimeter is 70cm. What are the dimensions of the rectangle?

x = width
2x - 4 = length {length is 4 less than twice width}

Perimeter of a rectangle is 2(width) + 2(length)

2x + 2(2x - 4) = 70 {perimeter is 2(width) + 2(length)}
2x + 4x - 8 = 70 {used distributive property}
6x - 8 = 70 {combined like terms}
6x = 78 {added 8 to both sides}
x = 13 {divided both sides by 6}
2x - 4 = 22 {substituted 13, in for x, into 2x - 4}

width = 13 cm and length = 22 cm

 - Algebra House