The perimeter of the rectangle is 24 cm. The length of one side is 2 cm less than the length of the other

The perimeter of the rectangle is 24 cm. The length of one side is 2 cm less than the length of the other. Find the area of the rectangle.

Given:
The perimeter of the rectangle is 24 cm.
The length of one side is 2 centimeters less than the length of the other side.

Let one side of the figure be x centimeters.
Then the length of the second figure will be equal to (x + 2) cm.
Let’s make the equation:
x + x + x + 2 + x + 2 = 24;
4x = 24 – 4;
4x = 20;
x = 20: 4;
x = 5.
One side is 5 cm.
Let’s calculate the length of the second one:
5 + 2 = 7 cm.
Find the area of the rectangle using the formula S = a * b:
S = a * b = 5 * 7 = 35 cm2.
Answer: the area of the rectangle is 35 cm2.



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