The length of one side of the rectangle is 5 6 cm and the perimeter is 250 cm

| July 14, 2021 | education

The length of one side of the rectangle is 5 6 cm and the perimeter is 250 cm Find the length of the second side and the area of the rectangle.

We know that the perimeter of a rectangle is calculated by the formula:

P = 2a + 2b.

According to the condition of the task, the sum of all sides of such a figure is 250 cm, and the length = 56 cm.Let’s write an equation for the formula, substituting the known values ​​and find the width:

2 * 56 + 2b = 250.

We indicate the variable on the left side of the equation, and we write the known numbers on the right. When transferring, the sign in front of these values ​​is reversed:

2b = 250 – 112 = 138.

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

b = 138: 2 = 69 cm.

The area corresponds to:

S = a * b = 56 * 69 = 3864 cm².



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