Question

the length of a rectangle is 5 cm greater than its breadth. if the length is doubled and breadth is tripled, then the area of new rectangle is increased by the area of original rectangle 70 cm square. Find the length and breadth of the rectangle. also check the solution.

Answer 1

please check the question first

Answer 2

All in cm


New data

Breadth = 3 x

Length =2( x+ 5 )

Area of new rectangle = L×B

70= 3x(2x+10)

70= 6x²+60x

0= 6x²+60x-70

0= 3x²+30x-35

a=3 b=30 c=-35

x = (-b+√b²-4ac)/2a

= (-30+√900+420)/2a
= (-30+√1320)/6
= (-30+36.331)/6
= 37.990 cm

or x = (-30-36.331)/6 ( is not valid)

another side is x+5= 37.990+5 = 42.991 cm

but you will check your question once again