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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?
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.
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