# Answer to Question #15257 in Geometry for Carol

Question #15257

Suppose that the length of a rectangle with an area of 24 square units is unknown. Let x

represent the length. Write an expression for the width in terms of x. Use this expression to

write a formula for the perimeter, p, in terms of the unknown value, x.

represent the length. Write an expression for the width in terms of x. Use this expression to

write a formula for the perimeter, p, in terms of the unknown value, x.

Expert's answer

Let's denote the area of a rectangle by A and its width by w. Then

A = w*x.

So, the expression for the width is

w = A/x.

The formula for the perimeter is

p = 2(x+w) = 2(x+A/x).

A = w*x.

So, the expression for the width is

w = A/x.

The formula for the perimeter is

p = 2(x+w) = 2(x+A/x).

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