Length of a rectangle is increased by 50% and breadth is decreased by 25% what is the difference in the area

							
Dear student,
Let length =l
breadth=b
New length=1.5l
new breadth=0.75b
New area 1.5l*0.75b

























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Askiitians Expert
Sagar Singh
B.Tech, IIT Delhi

























						

							
let length be l and breadth be b
area = l*b
new length = l + l/2 = 3l /2
new breadth = b - b/4 = 3b/4
new area = 3l/2 * 3b/4 = 9 * l * b / 8 ;
 
difference in area = 9*l*b/8 - l*b
==> (l*b) * (9/8 - 1)
==> (l*b) * 1/8
thefore difference in area = 1/8 * l*b
 
please approve if the answer is correct