Calculate the perimeter of a rectangle if its side is 24 cm and the diagonal is 25 cm.
January 22, 2021 | education
| From the condition, he knows that the side of the rectangle is 24 cm, and its diagonal is 25 cm.
In order to find the perimeter of a rectangle, we first need to find the lengths of the sides of the rectangle.
Consider a right-angled triangle formed by the sides of a rectangle (legs) and its diagonal (hypotenuse).
To find the unknown leg, we use the Pythagorean theorem.
24 ^ 2 + x ^ 2 = 25 ^ 2;
576 + x ^ 2 = 625;
x ^ 2 = 625 – 576;
x ^ 2 = 49;
x = 7 cm the length of the second side of the rectangle.
We are looking for the perimeter by the formula:
P = 2 (a + b) = 2 (7 + 24) = 2 * 31 = 62 cm.
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