emmawande308
emmawande308 emmawande308
  • 19-04-2022
  • Mathematics
contestada

the diagonal of a rectangular garden measures 111/4m while it's width measures 63/4m . Calculate the perimeter of the garden
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Respuesta :

rspill6
rspill6 rspill6
  • 19-04-2022

Answer:

Step-by-step explanation:

The diagonal of a rectangular garden forms a hypotenuse with the width and length sides.  We can use the Pythogorean Theorem to calculate the remaining side.

Let W, L, and H stand for the Width, Length, and Hypotenuse, all in meters.

W^2 + L^2 = H^2

Enter the data:

(63/4)^2 + L^2 = (111/4)^2

248.06 + L^2 = 770.06

L^2 = 522

L = 22.847 meters

Perimeter is 2W + 2L

Perimeter = 2(63/4) + 2(22.847)

Perimeter = 77.19 meters

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