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Find the width and area of a rectangle with the following information below Length = x+5 Perimeter = 4x + 10

Sagot :

Recall, the formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

Given that

Perimeter = 4x + 10

length = x + 5,

it means that

4x + 10 = 2(x + 5 + width)

By opening the parentheses on the right, we would multiply each term inside it by the term outside. we have

4x + 10 = 2x + 10 + 2width

4x - 2x + 10 - 10 = 2width

2width = 2x

width = 2x/2 = x

Recall, the formula for finding area is expressed as

Area = length * width

Thus,

Area = (x + 5)x

By opening the parentheses, we would multiply each term inside it by the term outside. Thus,

Area = x^2 + 5x

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