the area of exhibition hall is 96 sq.m. If the lenght and the breadth be increased by 1m each , the area increases by 21sq.m. find the length and breadth of the hall
Answers
Answered by
15
Answer:
area=l*b
l*b=96....[1]
New area =
[l+1]*[b+1]=96+21
lb+l+b+1=117
96+l+b=116
l+b=20...[2]
substituting [1] in [2]
96/b +b=20
b^2- 20b +96=0
b^2 -12b-8b+96=0
b[b-12]-8[b-12]
[b-8][b-12]
b=8,12
case 1:
if b=8 then l=12
if b=12 then l=8
Step-by-step explanation:
Similar questions