Aplayground 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.

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