The area of a square with a side of 6 dm is equal to the area of a rectangle with a width

The area of a square with a side of 6 dm is equal to the area of a rectangle with a width of 40 cm. What is the length of the rectangle and its perimeter?

1. The area of the square is 6 x 6 = 36 dm ^ 2.

2. The area of a rectangle is equal to the product of length and width. We take the length of the rectangle as x.

3.40 cm = 4 decimetres.

4. Let’s make the equation:

4x = 36;

x = 9 decimeters.

The area of the rectangle is 4 x 9 = 36 dm ^ 2.

Perimeter 2 x 9 + 2 x 4 = 26 decimeters.

Answer: the area of the rectangle is 36 dm ^ 2, the perimeter is 26 decimeters.