Question

The length of a rectangle is

four times its width. If the
area is 100 meters squared,
what is the length of the
rectangle?

Answer 1

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

Answer 2

5 is the width 20 is the length

Explanation:

5*4= 20 and 20*5=100