ABCD is a rectangle. What is the value of x? (1 point)
rectangle with length 45 feet, width x feet, and diagonal 53 feet
28 feet
45 feet
53 feet
98 feet
To solve this problem, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides.
In this case, we have a right triangle with the diagonal of the rectangle as the hypotenuse and the length and width of the rectangle as the other two sides.
Let's call the length of the rectangle 45 feet and the width x feet. Using the Pythagorean Theorem, we have:
45^2 + x^2 = 53^2
2025 + x^2 = 2809
x^2 = 2809 - 2025
x^2 = 784
x = √784
x = 28
Therefore, the value of x is 28 feet.