Question

the width of a rectangle is 6 ft and the diagonal length of the rectangle is 15ft. which measurement is closer to the length of this rectangle in feet?​

Answer 1

To find the length of the rectangle, use the Pythagorean Theorem by applying the formula width^2 + length^2 = diagonal^2. Therefore, the length of the rectangle is approximately 13.7 feet.

Step-by-step explanation:

To find the length of the rectangle, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides. In this case, the length and width of the rectangle are the other two sides.

Let's use the formula to solve for the length:
width^2 + length^2 = diagonal^2
6^2 + length^2 = 15^2
36 + length^2 = 225
length^2 = 225 - 36
length^2 = 189
length = √189 ≈ 13.7 ft

Therefore, the measurement that is closer to the length of the rectangle is approximately 13.7 feet.