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.

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

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