Question

A farmer has 96 feet of fence with which to make a corral. if he

arranges it iinto a rectangle that is twice as long as it is wide,
what are the dimensions?

Answer 1

Answer: The dimensions of rectangle are 32 feet and 16 feet.

Explanation:

Let the width of rectangle be 'x'.

Let the length of rectangle be '2x'.

Perimeter of fence = 96 feet

As we know the formula for "Perimeter":

`Perimeter=2(l+b)\\\\96=2(2x+x)\\\\(96)/(2)=3x\\\\48=3x\\\\x=(48)/(3)\\\\x=16\ ft`

Hence, the length of rectangle is 2x=2×16 = 32 feet and width is 16 feet.

Therefore, the dimensions of rectangle are 32 feet and 16 feet.