1. find the length of a rectangular lot with a perimeter of 124 feet if the length is two more than twice the width. 2. find the length of a rectangular lot with a perimeter of 50 feet if the length is five more than the width.

ANSWER TO QUESTION 1

Let the width be

units.

Twice the width will be



Two more than twice the width will be



We were told that the length is 2 more than twice the width. This means that,



This implies that,



The formula for finding the perimeter of a rectangle is given by:



We substitute 124 for the perimeter and equation (1) into equation (2)



This implies that,







We divide both sides by 3 to obtain,



Therefore the length is 42 feet.

ANSWER TO QUESTION 2

Let the width be


units.

Five more than the width will be



We were told that the length is 5 more than the width. This means that,



We make w the subject to obtain,



The perimeter is given by,



We substitute 50 for the perimeter and equation (1) into equation (2)



Dividing through by 2 gives,







We divide both sides by 2 to get,



Therefore the length is 15 feet.