The area of a playground is 72 square yards. The length of the playground is 2 times longer than its width. Find the length and the width of the playground

Question

what we know:

area of playground is 72 square yards

the length is 2 times longer than its width

 

what we need to find Out: the length and the width of the playground

Answer 1

Area = 72 square yards

Length = 2W

 

Area of a rectangle = Length x Width

 

72 = 2W x W

 

72 = 2W² 

 

72/2 = 2W²/2 ----------- divide both sides by 2

 

36 = W²

 

√36 = √W² ----------- Square root both sides

 

6 = W

 

L = 2W

 

L = 2 x 6

 

L = 12

 

Length = 12 yards

Width = 6 yards.