Question

The the base of a rectangle is 7 times the height if the perimeter is 32m what is area

Answer 1

Area =28m.sq.
As 2x14=28

Answer 2

Given,

The base of rectangle is 7 times the height.

Perimeter of the rectangle is 32m.

To Find,

The area of the rectangle.

Solution,

Let the height of the rectangle be $x$.

Then, the base of the rectangle = $7x$ .

The perimeter of the rectangle = $2(b+h) = 32m$

⇒$2(7x+x) = 32\\2(8x) = 32\\x=2.$

Thus the height of the rectangle, $x$ = $2m$.

The base of the rectangle = $7(2) = 14m.$

Area of rectangle = base × height

⇒ $14$×$2 = 28m^{2}$

Henceforth, the area of the rectangle is 28m².