The perimeter is rectangular 40 cm. What is the length of the rectangular, if its width is 8 cm?

| April 30, 2021 | education

The perimeter is rectangular 40 cm. What is the length of the rectangular, if its width is 8 cm? What is the rectangular area?

1. Let us first find the length of the rectangle. Let it be x cm.

2. Since the perimeter of a rectangle is equal to the sum of the lengths of all its sides, in this case the perimeter is calculated as x + 8 + x + 8 = 2 * (x + 8) cm.

3. By the condition of the problem, the perimeter is 40 cm. Then we can write the equality:

2 * (x + 8) = 40;

x + 8 = 40/2 = 20;

x = 20 – 8 = 12;

4. We got that the length is 12 cm.

5. Now, knowing the length and width of the rectangle, you can find its area.

5. The area is equal to the product of length and width. This means that for a given rectangle the area is 12 * 8 = 96 cm2.

Answer: the length of the rectangle is 12 cm, and its area is 96 cm2.



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