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
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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?
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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
