# The perimeter of the rectangle is 64cm, its width is 8cm. What is the area of the rectangle?

March 25, 2021 | education

| In order to find the area of a rectangle, we must find the length of the rectangle, since the formula for finding the area looks like this:

S = a * b, where a and b are the length and width of the rectangle.

From the condition, we know the perimeter of the rectangle – 64 cm, and its width is also known as 8 cm.

Let’s define x cm as the length and create the equation:

P = 2 (a + b);

2 (x + 8) = 64;

x + 8 = 64: 2;

x + 8 = 32;

x = 32 – 8;

x = 24.

We found the length of the rectangle.

We are looking for an area:

S = 8 * 24 = 192 cm2 area of a rectangle.

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