A rectangular plot 15 m × 10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.
Select.
A) 4 m	B) 3 m	C) 2 m	D) 1 m	E) None of these
Let the width of the path = W m   then, length of plot with path = (15 + 2W) m   and breadth of plot with path = (10 + 2W) m   Therefore, Area of rectangular plot (without path)   = 15 × 10 = 150 m2   and Area of rectangular plot (with path)   = 150 + 54= 
<gadget id="calculator">150 + 54</gadget>
<output>204</output>
204 m2   Hence, (15 + 2W) × (10 + 2W)= 204   ⇒ 4W2 + 50W – 54 = 0   ⇒ 2W2 + 25W – 27 = 0   ⇒ (W – 2)(W + 27) = 0   Thus W = 2 or –27   ∴ with of the path = 2 m   Answer 2 m
<result>C</result>
A rectangular plot 15 m × 10 m, has a path of grass outside it. If the area of grassy pathway is 54 m2, find the width of the path.