# Find the length of the rectangle if its perimeter is 64 cm and width is 8 cm.

January 13, 2021 | education

| P = (a + b) * 2,

where P is the perimeter of the rectangle, a is the length of the rectangle, b is the width of the rectangle.

In order to find the length of a rectangle, you need:

a = Р / 2 – b, substituting the known values into the formula, we get:

a = 64/2 – 8;

a = 24 (cm) – the length of the rectangle.

Having done the check, we get:

64 = (24 + 8) * 2;

64 = 32 * 2;

64 = 64

Answer: 24 centimeters.

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