The perimeter of the rectangle is 254cm. and one of the ego sides is 73cm. Find the area of the rectangle.

First of all, find the width of the rectangle if the sum of all its sides is 254 cm and the length = 73 cm.

The perimeter is calculated using the formula:

P = 2a + 2b.

Let’s write the equation:

2 * 73 + 2b = 254.

We perform actions with known numbers and transfer them to the right side, while the sign in front of it changes to the opposite. The variable with the coefficient will remain on the left:

2b = 254 – 146 = 108.

In this case, “b” is the second factor, it is equal to the quotient of the product of the first:

b = 108: 2 = 54.

Therefore, width = 54 cm.

The area corresponds to:

S = a * b = 73 * 54 = 3942 cm².