In a rectangle, one side is 24cm and the diagonal is 25cm. Find the perimeter of the rectangle.
August 27, 2021 | education|
In a rectangle, the diagonal forms a right-angled triangle with sides, where the diagonal is the hypotenuse.
Hypotenuse length formula:
a ^ 2 = b ^ 2 + c ^ 2, where a is the hypotenuse, b and c are legs.
Let us express one of the legs from the formula:
c ^ 2 = a ^ 2 – b ^ 2.
c = √ (a ^ 2 – b ^ 2).
Find the second side of the rectangle:
c = √ (25 ^ 2 – 24 ^ 2) = √ (625 – 576) = √49 = 7 cm – the length of the second side.
Formula for the perimeter of a rectangle:
P = (a + b) * 2, where a and b are the sides of the rectangle.
P = (24 + 7) * 2 = 31 * 2 = 62 cm – the perimeter of the rectangle.
Answer: P = 62 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.