One side of the rectangle is 7 dm, and its perimeter is 23 dm 4 cm. Calculate the area of the rectangle.

We denote the length of the second side of the rectangle through the variable X.

Let’s compose and solve an equation with one unknown X according to the condition of our problem.

When solving the equation, take into account that 1 dm = 10 cm, and translate the indicated lengths in the problem statement into cm.

7 dm = 7 x 10 = 700 cm.

23 dm 4 cm = 23 x 10 + 4 = 234 cm.

70 x 2 + 2 x X = 234.

2 x X = 234 – 140.

2 x X = 94.

X = 94: 2.

X = 47.

We get that the length of the second side of the rectangle is 47 cm.

To find the area of ​​a rectangle, you must multiply the values ​​of the lengths of its sides.

70 x 47 = 3290.

Thus, the area of ​​our rectangle is 3290 square meters. cm or 32 sq. dm and 90 sq. cm.