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.