A television screen has a length to width ratio of 8 to 5 and a perimeter of 117 inches. What is the diagonal measure of the screen (to the nearest tenth of an inch)?

Step-by-step explanation:

Given

and

Required

Determine the Diagonal

First, the dimension of the screen has to be calculated;

Recall that;

Convert to division

Multiply both sides by W

The perimeter of a rectangle:

Substitute

Take LCM

Substitute 117 for Perimeter

Multiply both sides by

Recall that

The diagonal of a rectangle is calculated using Pythagoras theorem as thus;

Substitute values for L and W

(Approximated)

true

explanation: