The skating rink has the shape of a rectangle with a pyrimeter of 240m, and the length of the skating

The skating rink has the shape of a rectangle with a perimeter of 240m, and the length of the skating rink is 2 times the width. Find the area of the skating rink?

To find the area of ​​a rectangle, we need to know the length and width.

We can find the width and length of the rectangle using multiplication. To compose the equation, designate the unknowns. The first unknown width will be denoted as X. The second unknown length will be denoted as (2 * X), ​​since according to the condition of the problem, the length is twice as large. When drawing up the equation, it is necessary to take into account the perimeter, which is the sum of all sides of the polygon.

Draws up equations.

X + X + (2 * X) + (2 * X) = 240.

6 * X = 240.

X = 240: 6.

X = 40 cm.

2 * X = 40 * 2 = 80 cm.

Find the area of ​​the rectangle. To determine the area, you need to multiply the width by the length of the rectangle.

40 * 80 = 2400 cm2.

Answer: the area of ​​the rectangle is 2400 cm2.