Question

the length of the rectangle is greater than its breadth by 18cm.if both length and breadth are increased by 6 cm the area increases by 168cm^2.fing the length and breadth of the rectangle

Answer 1

l=b+18-------------(1)

area of rectangle=lb

(l+6)(b+6)=lb+168

lb+6l+6b+36=lb+168

6l+6b=168-36

6l+6b=132

l+b=22--------------(2)

substituting (1) in (2)

(b+18)+b=22

2b=22-18

2b=4

b=2

l=b+18

l=2+18

l=20

∴ l=20cm

  b=2cm