The width of the rectangle is 40% less than the length of the perimeter 80 cm. Find the area?

The area of ​​a rectangle is equal to the product of its two sides, namely the product of its length and width. So we need to find the length and width of the rectangle.

The width of the rectangle as a percentage of its length is:

100% – 40% = 60%

Let the length of the rectangle be X cm.

Then its width is equal to:

X * 60/100 = 0.6 * X.

The perimeter of a rectangle is equal to the sum of all its sides:

X + X + 0.6 * X + 0.6 * X = 2 * X + 2 * 0.6 * X = 3.2 * X

In this case, the perimeter is 80 cm, which means:

3.2 * X = 80 cm;

X = 80 / 3.2 = 25 cm.

0.6 * X = 0.6 * 25 = 15 cm.

We found both sides of the rectangle. So we can find its area as well:

15 * 25 = 375 cm2.