The sides of the rectangle are 12 cm and 6 cm. Determine its perimeter and area.

The sides of the rectangle are 12 cm and 6 cm. Determine its perimeter and area. How will the perimeter and area of the rectangle change if each side is increased by 2 cm?

Answer: the perimeter is 36 cm; the area is 72 cm²; the perimeter will increase by 8 cm; the area will increase by 40 cm².

1. Let’s calculate the perimeter at the initial values. The perimeter is the sum of the lengths of all sides. In addition, the opposite sides of the rectangle are equal.

12 + 12 + 6 + 6 = 36 cm.

2. The area of ​​a rectangle is defined as the product of the length and width values:

12 * 6 = 72 cm².

3. Let’s increase the length and width by 2 cm. The new length will be 14 cm, and the new width will be 8 cm. Then the perimeter will be:

14 + 14 + 8 + 8 = 44 cm.

The area will be equal to:

14 * 8 = 112 cm².

4 Subtract the smaller values ​​from the larger ones for perimeters and areas, respectively, and find out how much the increase occurred:

44 – 36 = 8 cm.

112 – 72 = 40 cm².