# Find the area of all possible rectangles with a perimeter of 12 cm, if the length of their sides is expressed

September 13, 2021 | education

| **Find the area of all possible rectangles with a perimeter of 12 cm, if the length of their sides is expressed as an integer cm. Which rectangle has the largest area.**

Divide the perimeter by 2, we get half the perimeter. It will be equal to the sum of the length and width of the rectangle.

p = 12 cm ÷ 2 = 6 cm.

Let’s select the sides of the rectangle, the sum of which is 6 cm, and calculate the area of each pair of sides.

1 cm * 5 cm = 5 cm²

2 cm * 4 cm = 8 cm².

3 cm * 3 cm = 9 cm².

Answer: the largest area is for a rectangle with sides of 3 cm.

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