SOLUTION: An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters more than triple the width. What dimensions should she

Question 1195773: An architect wants to draw a rectangle with a diagonal of 13 centimeters. The length of the rectangle is to be 3 centimeters more than triple the width. What dimensions should she make the rectangle?

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

a diagonal centimeters
if the length of the rectangle is to be centimeters more than the width , we have

.....eq1
using Pythagorean theorem we know that

substituting and we have

.....factor

solutions;
-> -> disregard negative solution
->->exact solution
now find the length:
.....eq1
->exact solution

dimensions of the rectangle : centimeter by centimeter

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