A lawn is 80 m long and 30 m wide. Through the centre of the lawn, two paths, each 2 m wide, intersect each other at right angle. Find the area of the remaining portion of the lawn.

Asked by helloajayhello | 25th Jan, 2019, 03:38: PM

Expert Answer:

Assuming the lawn to be rectangular in shape,
the area of this lawn will be = length x breadth (width) of the lawn
Area of the lawn = 80 x 30 = 2400 m2
 

 
Through the centre of the lawn, two paths of 2 m width intersect each other at right angles
 
That means those paths will be in the form of two rectangles,
the first one of 80 x 2
and the other will be of 28 (30-2) x 2 ... (Because these two paths intersect each other internally)
 
Area of path 1 = 80 x 2 = 160 m2
Area of path 2 = 28 x 2 = 56 m2
 

Area of remaining portion of the lawn will be  = 2400 - (160+56) = 2400- 216 = 2184 m2

Answered by Science Mate | 25th Jan, 2019, 04:19: PM