Question

Jenna is building a rectangular garden in her yard the diagonal measures 6.5 feet in the width measures 2.5 feet what is the perimeter of Jennas garden

Answer 1

Answer: Perimeter = 12.5 feet

Step-by-step explanation:

The diagonal of the rectangular garden divides it into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the rectangle, L, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

6.5² = 2.5² + L²

42.5 = 6.25 + L

L² = 42.5 - 6.25 = 36

L = √36

L = 6 feet

Perimeter = 2(L + W)

Perimeter = 2(6 + 2.5) = 12.5 feet