Question

8)
The ratio of length and breadth of a rectangular playground is 3:2. There
is a two meter wide jogging track along and outside the playground. The
total area of the track and the playground is 2816 sq.m. Find the length
and breadth of the playground.​

Answer 1

Answer:let length be 3x and breadth be 2x

total area of track +playground =(3x+2+2)(2x+2+2)

2816m=(3x+4)(2x+4)

2816m=6x²+12x+8x+16

2816=6x²+20x+16

2800=6x²+20x

0=6x²+20x-2800

0=2(3x²+10x-1400)

0=3x²+10x-1400

Do middle term factorization..

0=(x-20)(3x+70)

Now x=20 or x=-70/3

as length cannot be negative we will take x=20

l=3x=60m

b=2x=40m

hope you understand