The figure is split into a square and a rectangle. Its total area is 88cm ^ 2.

The figure is split into a square and a rectangle. Its total area is 88cm ^ 2. Find the length and width of the rectangle if the side of the square is 8 cm. It is 2 cm longer than the length of the rectangle.

Knowing the side of the square, we can find its area:

1) S = 8 * 8 = 64 (cm2) – square area.

Now, subtract the area of the square from the total area, this will be the area of the rectangle:

2) 88 – 64 = 24 (cm2) is the area of the rectangle.

It is known that the length of the rectangle is 2 cm less than the side of the square, we can find it:

3) 8 – 2 = 6 (cm) – the length of the rectangle.

The area of a rectangle is equal to the product of its two sides.

Knowing the length and area of the rectangle, we can find its width:

4) 24: 6 = 4 (cm) – the width of the rectangle.

Answer: the length of the rectangle is 6 cm, and its width is 4 cm.