The width of the rectangle is 5 cm and the perimeter is 28 cm. Find the length and area of this rectangle.

The problem can be solved in different ways, depending on the formula for the perimeter of the rectangle, which you will use when choosing a solution to the problem.

P = a + a + b + b; P = a * 2 + b * 2; P = (a + b) * 2.

1 way.

28: 2 = 14 (cm) the sum of the length and width of the rectangle.
14 – 5 = 9 (cm) the length of the rectangle.
9 * 5 = 45 (cm ^ 2) area of the rectangle.

Method 2.

5 * 2 = 10 (cm) the sum of the two sides of the rectangle.
28 – 10 = 18 (cm) the sum of the two lengths of the rectangle.
18: 2 = 9 (cm) length of the rectangle.
9 * 5 = 45 (cm ^ 2) area of the rectangle.
Answer: 9 cm, 45 cm ^ 2.