The lengths of the sides of the rectangle ABCD are equal to 20 and 36 cm.

univerkov | March 22, 2021 | education

The lengths of the sides of the rectangle ABCD are equal to 20 and 36 cm. On the large sides BC and AD, their midpoints are marked with points E and F, respectively. Find the area of the quadrilateral AECF.

By the problem statement, a rectangle ABCD is given.

It is known that the length and width of this rectangle are 36 and 20 centimeters, respectively.

Construct a rectangle and mark on its large sides (BC and AD) points E and F, see the figure.

We got the AECF parallelogram.

Let’s calculate the area of this parallelogram:

S = a * h, where a is EC and h is EF.

EС = BC / 2 = 36/2 = 18 cm.

EF = AB = 20 cm.

S = 18 * 20 = 360 cm².

Answer: The area of the AECF quadrilateral is 360 cm².

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