Question

a square garden has a length of 24 feet and a diagonal of 26 feet. what is the width of the garden? 12 feet 10 feet 14 feet

Explanation:

Step1: Use Pythagorean theorem

Let width = $w$, length $l=24$, diagonal $d=26$.
$$l^2 + w^2 = d^2$$

Step2: Rearrange for width

$$w^2 = d^2 - l^2$$

Step3: Substitute values

$$w^2 = 26^2 - 24^2 = 676 - 576 = 100$$

Step4: Solve for width

$$w = \sqrt{100} = 10$$

Answer:

10 feet