The side of the rectangle, the length of which is 16 cm, was increased by 4 cm and received a rectangle

The side of the rectangle, the length of which is 16 cm, was increased by 4 cm and received a rectangle, the area of which is 48 cm2 larger than the area of this rectangle. Find the area of the given rectangle and the perimeter of the new rectangle.

1. Take the width of this rectangle as x.

2. Its area is 16x cm ^ 2.

3. The area of the new rectangle obtained after increasing the length of the given 20x cm ^ 2.

4. Let’s compose and solve the equation:

20x – 16x = 48;

4x = 48;

x = 12.

5. We calculate the area of this rectangle:

12 x 16 = 192 cm ^ 2.

6. Calculate the total length of the sides of the new rectangle:

20 x 2 + 12 x 2 = 64 centimeters.

Answer: the area of this rectangle is 192 cm ^ 2, the perimeter of the new one is 64 centimeters.