Find the area of a rectangle if its perimeter is 52 and the ratio of adjacent sides is 4: 9.

1. Find half of the perimeter of this rectangle, it will be the sum of its adjacent sides, for this we divide its perimeter in half.

52/2 = 26 (cm) half of the perimeter of the rectangle.

2. Find the sum of the adjacent sides of the rectangle in parts by adding them together.

4 + 9 = 13 parts is the sum of adjacent sides.

3. Find how many centimeters are in one part.

26/13 = 2 cm per part.

4. Find the first side of the rectangle.

4 * 2 = 8 (cm) the first of the sides.

5. Find the second side.

9 * 2 = 18 (cm)

6. Let’s calculate the area of ​​this rectangle.

18 * 8 = 144 (cm2) area of ​​the rectangle.

Answer: 144 cm2.