Question

The length of a rectangle is four times its width.

If the area of the rectangle is 100 yd”, find its perimeter.

Answer 1

Answer: 50yd

Explanation:

We know that the area of any rectangle is length times width. The perimeter is the sum of twice the length and twice the width.

Let width = x

Let length = 4x

Area = 100m2

Next, we can write an equation using these variables and formula for area.

4x2 = 100

x2 = 25

x = -5 and x = 5

Since the dimensions cannot be negative, we accept the positive value:

x = 5

Next, we can substitute this value of x into the variables.

width = 5 m

length = 20 m

Finally, we can find the perimeter by plugging in these dimensions into the perimeter formula,

Perimeter = 2(5 m) + 2(20 m)

= 10 m + 40 m

= 50 m