The width of a rectangular park is 10/21 of its length. If the area of the park is 3360 sq m, then what is the difference between the length and the width of the park?
a) 40m
b) 44m
c) 48m
d) 52m
e) 56m
Let the length of the park be x metres.
Width = x × 10 / 21 = 10x / 21
Area = x × 10x / 21 = 3360
or, x^2 = 3360 × 21 / 10 = 7056
or, x = 84
Hence, length = x = 84m and width = 84 × 10 / 21 = 40 metres
Difference = 84 – 40 = 44 metres
Answer: b)