A square garden plot has an area of 75 ft. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest tenth of a foot.

9514 1404 393

 a. 5√3 ft

 b. 8.7 ft

Step-by-step explanation:

The area is the square of the side length, so the side length is the square root of the area:

  s = √A

  s = √(75 ft²) = √(25·3 ft²) = √(3·(5 ft)²)

  s = 5√3 ft ≈ 8.7 ft . . . . . . side length of garden

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x