The length of the rectangle is 8 cm longer than the width. calculated the area of a rectangle if its perimeter is 60 cm.

| April 30, 2021 | education

Let’s compose an equation according to the condition of the task and find what the sides of the rectangle are equal to if its length is 8 cm more than its width, and the perimeter = 60 cm.

The formula for determining the sum of all sides of such a figure looks like this:

P = 2a + 2b.

Substitute the known values:

2 * (x + 8) + 2x = 60.

Let’s expand the brackets:

2x + 16 + 2x = 60.

On the left side of the equation, we perform actions with the coefficients of the variable, and transfer the known number to the right, while changing the sign in front of it to the opposite.

4x = 60 – 16 = 44.

To find the second factor, you need to divide the product by the first.

x = 44: 4 = 11.

Therefore, width = 11 cm and length = 11 + 8 = 19 cm.

Let’s calculate the area:

S = a * b = 19 * 11 = 209 cm².



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