Question

The length of a rectangle is six times its width.
If the area of the rectangle is 150m^2 , find its perimeter.?

Answer 1

Let x = the width. Then, that means the length = 6x. Opposite sides of a rectangle are equal, so we can draw the picture above. Also, the area of a rectangle is length * width, so the area of this rectangle is 6x². We're given the area is 150m², so:

6x² = 150m²
x² = 25m²
x = 5m

Perimeter = sum of all sides = x + x + 6x + 6x = 14x
Perimeter = 14 * 5m = 70m