The perimeter of a rectangle is 70 inches. the ratio of the length to width is 4: 3. find the length of the diagonal of the rectangle.

2 steps to this problem.

1) Figure out the length of the sides. The perimeter is:

2L + 2W

We know that the width is of the length, so we can rewrite this to be 

2L + 2()W

or in other words, 

3.5L = 70
-->
L = 20
--> 
W = 15

2. Figure out the length of the diagonal. The shape is a right triangle, so you can use the Pythagorean Theorem here. 


--> 

--> 
= diagonal length = 25