The perimeter of the rectangle is 4m 8dm, one of its old and 5 times larger than the adjacent side.

The perimeter of the rectangle is 4m 8dm, one of its old and 5 times larger than the adjacent side. Find the area of the rectangle.

For the convenience of calculation, let’s translate the perimeter of the rectangle into meters:

4 m 8 dm = 4.8 m.

Let’s designate one of the sides of the rectangle as x, and the other, according to the problem, as 5x. Then we can write an expression for finding the perimeter of a rectangle through the sides specified in this way:

2 (x + 5x) = 4.8

Let’s open the brackets and solve this equation:

2x + 10x = 4.8

12x = 4.8

x = 0.4 m length of one side of the rectangle

Let’s find the length of the other side:

5x = 0.4 * 5 = 2 m length of the other side.

Now we can find the area of the rectangle:

0.4 * 2 = 0.8 m2

Answer: the area of the rectangle is 0.8 m2.