Question

the area of rectangular room is 80 square meter and if the length and breath are increased by 2 meters then the area would be increased by 40 square meters find the dimensions of the room

Answer 1

Answer:

Hey mate here is your answer./

Step-by-step explanation:

Area of  a rectangular room:80 m²,

so,you can take length and bredth as 10,8.

l=10 b=8(as,length will be more then breadth),

both are increased by two then area = original area+40

10+2×8+2=original area+40,

original area=80 m²,

so,12×10=80+40

120=120 m²,

So the dimensions of the room are 10,8.

Hope it helps you,

Please do mark me as Brain-lest.

Answer 2

Answer :-

10 m and 8 m

Solution :-

Let the length of the rectangular room be 'l' m and breadth be 'b' m

Area of rectangular room = 80 m²

==> Length * Breadth = 80 m²

==> lb = 80 m²

==> b = 80/ l

Given :-

If length breadth are increased by 2 m area woud be increased by 40 m²

==> ( l + 2 ) ( b + 2 ) = 80 + 40

==> l( b + 2 ) + 2( b + 2 ) = 120

==> lb + 2l + 2b + 4 = 120

==> 80 + 2l + 2b + 4 = 120

==> 84 + 2l + 2b = 120

==> 2l + 2b = 120 - 84

==> 2l + 2b = 36

==> l + b = 18

==> l + 80/l = 18

==> l² + 80 = 18l

==> l² - 18l + 80 = 0

==> l² - 10l - 8l + 80 = 0

==> l( l - 10 ) - 8( l - 10 ) = 0

==> ( l - 8 )( l - 10 ) = 0

==> l - 8 = 0 or l - 10 = 0

==> l = 8 or l = 10

Length should be bigger so l = 8 is not considered

==> l = 10

Substituting l = 10 in b= 80/l

==> b = 80 / 10 = 8

Therefore the dimensions of the room are 10 m and 8 cm.