what is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth, if necessary
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
In a rectangle, the diagonal acts as the hypotenuse of a right triangle formed by the two sides of the rectangle.
Let's assume the length of the rectangle is "l" and the width of the rectangle is "w". The diagonal acts as the hypotenuse of a right triangle, with the length "l" as one leg and the width "w" as the other leg.
By applying the Pythagorean theorem, we can find the length of the diagonal (d):
d^2 = l^2 + w^2
Taking the square root of both sides:
d = √(l^2 + w^2)
Since no specific values for the length or width of the rectangle are provided, we can't determine the exact value for the length of the diagonal. However, we can calculate its approximate length by rounding to the nearest hundredth.