Question

A Rectangular field 50 meters long and 42 meters broad contains a rectangular lawn inside it surrounded by a gravel path of uniform width If the width of the path is 6 m then the area of the path is

• A. $240m^2$
• B. $480m^2$
• C. $720m^2$
• D. $960m^2$

Answer 1

The correct option is D $960m^2$

Given length of is 50 meters and 42 meters broad and Inside rectangular lawn 6 m width

Then area of Lawn in length sides of rectangle=$2\times lengthofrectangle\times widthofpath=2\times 50\times 6=600$ sq m

And the of Lawn in width sides of rectangle=$2\times (widthofrectangle-2widthofpath)\times widthofpath=2\times (42-2(6\left)\right)\times 6=2(42-12)6=60\times 6=360$ sq m

Then total area of lawn path =600+360=960 sq m