The perimeter of the rectangle is 40 cm and the sum of the lengths of its three sides is 28 cm.

| April 30, 2021 | education

The perimeter of the rectangle is 40 cm and the sum of the lengths of its three sides is 28 cm. What is the area of this rectangle?

Find the length of the fourth side of the rectangle:

1) 40 – 28 = 12 (cm) – the length of one side of the rectangle;

A rectangle has 2 sides equal (the width of the rectangle), and also the other two sides (the length of the rectangle) are equal to each other. Find 2 widths of the rectangle:

2) 28 – 12 = 16 (cm) – two widths of the rectangle;

Let’s find the width of the rectangle:

3) 16: 2 = 8 (cm) – the width of the rectangle.

Let’s find the area of the rectangle, for this we multiply the width by the length of the rectangle:

4) 8 * 12 = 96 (cm ^ 2) – the area of the rectangle.

Answer: 96 cm ^ 2 is the area of a rectangle.



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