The perimeter of the rectangle is 26 dm. and one of the sides is 5dm. 7cm. Calculate the area of this rectangle.

Length (a) – 5 dm 7cm;

Width (b) -? cm;

Perimeter (Ppr) = 26 dm.

Spr -? cm ^ 2.

Let’s bring all known values to one unit of measurement:

5 dm 7cm = 57 cm; 26 dm = 260 cm.

The area of the rectangle is calculated by the formula: Sпр = a * b.

The perimeter of the rectangle is: Pпр = (a + b) * 2 = 260, i.e.

(57 + b) * 2 = 260.

57 + b = 260: 2;

57 + b = 130;

b = 73 (cm) – is the length of the other side (width).

Now, knowing the values of both sides of the rectangle, we find its area:

Spr = a * b = 57 * 73 = 4 161 (cm ^ 2).

Answer: the area of the rectangle is 4161 cm ^ 2.