Question

The length of a rectangular playing field is 5 meters less than twice its width. If 230 meters of fencing goes around the field, find the dimensions of the field. Find the length of the field.

Answer 1

205/3 meters or 68.33 meters

Explanation:

Perimeter = 2W + 2L

L = 2W - 5

230 = 2W + 2(2W - 5)

230 = 2W + 4W - 10

230 = 6W - 10

220 = 6W

W = 110/3 or 36.67 m

Add the Width into the formula for L to find the length

L = 2(110/3) - 5

L = 205/3 m or 68.33 m