Question

A rectangular grassy plot has a length of 146m and a breadth of 98 . It has a 2m
wide gravel path, that runs along the inside of the perimeter. Find the area of the gravel path.

Answer 1

Step-by-step explanation:

We know that, Inner area of rectangle = length × breadth Inner area of rectangle = 112 × 78 = 8736 m2 Width of path = 2.5 m Length of outer rectangle = 112 – (2.5 + 2.5) = 107 m Breadth of outer rectangle = 78 – (2.5 + 2.5) = 73 m And, Outer area of rectangle = length × breadth Outer area of rectangle = 107 × 73 = 7811 m2 Now let’s calculate Area of path, Area of path = Outer area of rectangle – Inner area of rectangle Area of path = 8736 – 7811 = 925 m2 Also given that, Cost of construction for 1 m2 = Rs 4.50 ∴ Cost of construction for 925 m2 = 925 × 4.50 = Rs 4162.5Read more on Sarthaks.com - https://www.sarthaks.com/674645/rectangular-grassy-plot-112-long-and-78-broad-it-has-gravel-path-wide-all-around-it-the-side