Question

ABCD is a rectangle with length 56 m, width x m, and diagonal 65 m. What is the value of x? (1 point)

a) 9 meters
b) 28 meters
c) 33 meters
d) 65 meters

Answer 1

The value of x in the rectangle ABCD is 33 meters.

Step-by-step explanation:

To find the value of x in the rectangle ABCD, we can use the Pythagorean theorem. The diagonal of a rectangle is the hypotenuse of a right triangle formed by the length and width. So, we can solve for x using the formula:

x^2 + 56^2 = 65^2

Simplifying the equation, we get:

x^2 + 3136 = 4225

Subtracting 3136 from both sides, we have:

x^2 = 1089

Taking the square root of both sides, we find:

x = 33

Therefore, the value of x is 33 meters (option c).