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3 years ago

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

Mathematics

1 answer:

german3 years ago

3 0

Answer:

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.

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