Question

Help please!!!

A rectangle has a length twice it’s width. It’s diagonal is the square root of 45 cm.

What are the length and width of the rectangle?

Answer 1

Let’s call the width of the rectangle “w”. Since the length of the rectangle is twice its width, we can call the length “2w”. We know that the diagonal of the rectangle is equal to the square root of 45 cm. Using Pythagorean theorem, we can find that:

diagonal^2 = length^2 + width^2 45 = (2w)^2 + w^2 45 = 4w^2 + w^2 45 = 5w^2 w^2 = 9 w = 3

So the width of the rectangle is 3 cm and its length is twice that, or 6 cm.

Explanation: