Question

The perimeter of a rectangle is 90 inches. The length is 8 times the width. What is the length of the diagonal?

Answer 1

Answer:

40

Step-by-step explanation:

The formula for the perimeter of a rectangle is  P = 2l + 2w.  Since the length is 8 times the width, l = 8w.  You can plug this into the equation.

P = 2(8w) + 2w

P = 16w + 2w

P = 18w

Now, plug in the given value for perimeter, and solve for w.

90 = 18w

(90)/18 = (18w)/18

5 = w

Since the width is equal to 5, you can now solve for l.

l = 8w

l = 8(5)

l = 40

The length of the diagonal is equal to 40.