Answer:
see explanation
Step-by-step explanation:
let w represent the width then length = w + 7
The perimeter of the rectangle = 2w + 2(w + 7) = 2w + 2w + 14 = 4w + 14
The perimeter is given as 54 m, thus
4w + 14 = 54 ( subtract 14 from both sides )
4w = 40 ( divide both sides by 4 )
w = 10
Thus
width of playground = w = 10 m
length of playground = w + 7 = 10 + 7 = 17 m