Question

The length of a rectangle is 3 times longer than its width. If the area of the rectangle is 24 square Inches, then what is the perimeter of the rectangle?

64 inches
24 inches
8 sqaured2 inches
16 squared2 inches

Answer 1

The answer is 16√2 cm.

Explanation:

Given that there is a rectangle with length 3 times than its width. We are to find the perimeter of the rectangle.

Let 'w' represents the width of the rectangle.

Then, its length will be 3w.

Also, area of the rectangle = 24 square inches.

Therefore,

`3w` x
`w = 24`

`w^(2) = 24\\ w^(2) = 8 \\ w = 2√(2)`

So, width = 2√2 inches and length = 6√2 inches.

Thus, perimeter of the rectangle = 4√2 + 12√2 = 16√2 cm.