Question

Length of a room is twice its height and breadth is 3÷2 times it height .the cost of washing the wall at the rate of Rs32 per sq. m is 3584 .find the cost of tilling the floor of room at 135 per sq. m

Answer 1

Answer:

Length = 2 height

Breadth=3/2 height

Cost of whitewashing=Rs 3584

= Rs 32× LSA = RS 3584

=32×2(l+b)h= 3584

=64(2h+3/2h)h =3584

=[(4h+3h)/2]h=3584/64

=(7h/2)h=56

=7h²=56×2

=7h²=112

=h²=112/7

= h²= 16

= h= 4m

Thus , length=2h =2×4 =8m

Breadth= 3/2h = 3/2 × 4= 6m

Cost of tilling the floor:

Rs 135 × area of rectangle

= Rs135× (l×b)

= Rs 135 ×(8×6)

= Rs 135 × 48

= Rs 6480