The perimeter of the rectangle is 15.4, the length of one of the sides is 5.2 dm. Find the area of this rectangle.
| May 2, 2021 | education
It is known that the perimeter of the rectangle is P = 15.4 dm, and the length of one side is A1 = 5.2 dm.
It is necessary to calculate the area of the rectangle.
Let’s write down the formula for finding the perimeter of a rectangle and express the second side A2.
P = 2 * (A1 + A2).
A2 = P / 2 – A1.
Substitute the values of P and A1, calculate A2.
A2 = 15.4 dm / 2 – 5.2 dm.
A2 = 7.7 dm – 5.2 dm.
A2 = 2.5 dm.
It turns out that the second side of the rectangle is 2.5 dm.
Now let’s write down the formula for finding the area of the rectangle S.
S = A1 * A2.
Let’s substitute the values of the sides and find the area.
S = 5.2 dm * 2.5 dm.
S = 13 dm2.
Thus, the area of the rectangle was 13 dm2.
Answer: the area of the rectangle is 13 dm2.
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