The perimeter of the rectangle is 36 cm. The sum of the lengths of its three sides is 25 cm. What is the area of this rectangle?

A rectangle is a rectangle with equal opposite sides and right angles.

Its area (numerical characteristic of a two-dimensional geometric figure) is calculated by the formula:

S = a * b.

The perimeter is the sum of all sides. For such a figure, it is determined by the formula:

P = 2a + 2b.

We know that P = 36 cm, and the sum of 3 sides = 25 cm, that is: 2a + b = 25.

25 + b = 36. To find the second term, subtract the first from the product:

b = 36 – 25 = 11 cm.Substitute instead of b:

2a + 11 = 25,

2a = 25 – 11 = 14,

a = 14: 2 = 7 cm.

Let’s calculate the area:

S = 11 * 7 = 77 cm².