# The perimeter of a rectangular plot is 90 meters and its width is 20 meters. What is its area?

March 24, 2021 | education

| It is known from the condition that the perimeter of a rectangular plot is 90 meters, its width is 20 meters. In order to find what its area is equal to, we first of all have to find the length of the section.

To do this, recall and apply the formula for finding the perimeter of a rectangle:

P = 2 (a + b), where a and b are the length and width of the rectangle.

Substitute the known values and solve the resulting equation:

2 (20 + x) = 90;

20 + x = 90: 2;

20 + x = 45;

x = 45 – 20;

x = 25 meters.

We look for the area of the rectangle by the formula:

S = a * b = 20 * 25 = 500 m2.

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