Ask Question
10 November, 21:38

A playground is rectangular in shape. The longer side of the playground is 400 feet. A walkway runs diagonally through the playground. The angle formed by the walkway and the shorter side of the playground is 53°.

What is the perimeter of the playground?

Enter your answer, rounded to the nearest foot.

+2
Answers (2)
  1. 10 November, 22:54
    0
    tan (a) = opposite/adjacent Here, a is 53 degrees, opposite is the long side of the playground (400 feet), and adjacent is the short side of the playground (unknown). tan (53 degrees) = 400/x x=400/tan (53 degrees) x=301.4 feet The perimeter is twice the length of the short side plus twice the length of the long side. p=2*400+2*301.4 Perimeter is 1402.8 feet
  2. 11 November, 01:21
    0
    To find the perimeter, you need to find the width first. The angle of the diagonal line would reflect the ratio of the length:width. The equation would be:

    length/width = tan 53

    400ft/width = 1.327044

    width = 400ft / 1.327044 = 301.42 ft

    The perimeter would be

    perimeter: 2 (length+width)

    perimeter: 2 (400ft + 301.42ft) = 1402.84ft - - - > might be rounded into 1400ft
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A playground is rectangular in shape. The longer side of the playground is 400 feet. A walkway runs diagonally through the playground. The ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers