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The length of a rectangle is four times its width.

If the perimeter of the rectangle is 100 in, find its length and width.

1 Answer

4 votes

Answer:

Length: 40 inches

Width: 10 inches

Explanation:

Let
x = width of the rectangle.

From the information "length of a rectangle is four times its width", we can express the length as:

Length =
4x

- - - -

Perimeter =
2l+2w (formula for perimeter of rectangle)


100=2(4x)+2(x)


100=8x+2x


10x=100 (combine like terms)


x=10 inches

∴ The width of the rectangle is 10 inches.

To find the length of the rectangle, we can use substitution:

Length =
4x


=4(10)


=40 inches

∴ The length of the rectangle is 40 inches.

Hope this helps :)

User Louis Huppenbauer
by
8.6k points

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