Question

ACTIVITY RESULTS

Select the letter of the correct answer.
Suppose a Hispanic Heritage festival is held in a park that is 58 yards long and 43 yards wide.
What is the diagonal length of the festival'area? Round your answer to the nearest tenth of a
yard
Hint
A 72.2 yards
B 72.0 yards
C 72.1 yards
D 72.3 yards
E
Submit
Pu

Answer 1

`D = 72.2\ yd`

Explanation:

Given

`Length\ (L)= 58\ yd`

`Width \ (W)= 43\ yd`

Required

Determine the diagonal (D)

The relationship between D, L and W can be gotten using Pythagoras Theorem:

`D^2 = L^2 + W^2`

Substitute values for L and W

`D^2 = 58^2 + 43^2`

`D^2 = 3364 + 1849`

`D^2 = 5213`

Take Square root of both sides

`D = √(5213)`

`D = 72.2011080247`

`D = 72.2\ yd` (Approximated)