The length of the rectangle is 4 times its width, and its perimeter is 2 inches. What is the area of the rectangle?

The sum of all its sides is called the perimeter of a rectangle. Let’s imagine that the width of the given rectangle is equal to X cm. The length of the rectangle, respectively, will be 4 X cm, because the expression “4 times larger” means that the number needs to be multiplied by 4. We know the value of the perimeter. Let’s make an equation and find the length and width of the rectangle:

4 x + 4 x + x + x = 2 dm;

10 x = 2 dm;

10 x = 20 cm;

x = 20: 10;

x = 2 cm – the width of the rectangle.

Rectangle length:

2 cm * 4 = 8 cm.

The area is found by the formula:

S = a * b, where

a – width, b – length.

Find the area:

S = 2 * 8 = 16 cm ^ 2.

Answer: 16 cm ^ 2.