Question

Length of a rectangular tank is twice its breadth. If the

depth of the tank is 3 m and area of its four walls is 108m2

, find the

length of the tank.

Answer 1

Breadth is X then length is 2X
and
(2X+X)*3=108
then 3X=36
X=12 and length is 24 m

Answer 2

$\large \tt AHOY!! \:$

ATQ, the length of a rectangular tank is twice it's breadth.

let the breadth be x. therefore it's length is 2x.

given depth of the tank = 3m and it's CSA (area of four walls) is = 108m²

the formula for the CSA of a cuboid is 2h(l + b)

therefore 2h(l + b) = 108m² (since it's a rectangular tank. i.e must be cuboidal)

=> 2 × 3 (2x + x) = 108m²

=> 3x = 108/6

=> 3x = 18

=> x = 18/3

=> x = 6

hence, breadth of the tank = x = 6m

and length of the tank = 2x = 2 × 6 = 12m

$\large \tt HOPE \: THIS \: HELPS!!$