Question

The length of a rectangle is four times its width.

Answer 1

Answer:

Length: 40 inches

Width: 10 inches

Step-by-step 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 :)