The area of a playground is 12 square yards. The length of the playground is 3 times longer than its width. Find the length and width of the playground.

Width is 2 and Length is 6

Step-by-step explanation:

As the data is given, the area of a playground is 12 square yards. The length of the playground is 3 times longer than its width. Let width is x, length is 3 times therefore, length = 3x

As we know the formula for area,

Area=length x width.

So by putting values in this formula,

12sq = (3x) (x)

=> 3x2 = 12

=> x2 = 12/3,

=> x2 = 4,

by taking square root we get x = 2,

the width is 2 and length is 3 times hence, length is 3 (2) = 6.