# The perimeter of the rectangle is 4m 8dm, one of its sides is 5 times larger than the neighboring one, find the area.

March 29, 2021 | education

| 1. Let’s translate the perimeter of the rectangle into cm:

4 m 8 dm = 480 cm.

2. Let the smaller of the adjacent sides be equal to a, then the larger side is equal to 5a. Using the formula for the perimeter of a rectangle, we will compose the equation:

2 * (a + 5a) = 480,

2 * 6a = 480,

12a = 480,

a = 480/12,

a = 40.

3. Find the large adjacent side:

5 * 40 = 200 cm.

4. Find the area of the rectangle by multiplying its length by width:

200 * 40 = 8000 cm2.

Answer: the area of the rectangle is 8000 cm2.

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