What is the answer of A rectangle has a width 2x and length x - 2 the perimeter is 452 inches what is the area of the rectangle?

Answer 1

First we have to find out what 'x' is. Then we'll know the length and width,

and we can multiply them to find the area.

Length of the rectangle = x - 2

Width of the rectangle = 2x

Perimeter of the rectangle = (two lengths) + (two widths) = 2(x-2) + 2(2x) = 2x - 4 + 4x = 6x - 4.

But we know that the perimeter is 452.

So (6x - 4) = 452

Add 4 to each side:

6x = 456

Divide each side by 6:

x = 76.

Now we know what 'x' is.

Length = x - 2 = 74

Width = 2x = 152

Area = (Length) x (Width) = (74 x 152) = 11,248

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The answer is 11,248.

Nice work. I'll bet you learned a lot from having me do it.