Question

a 40 m2 floor in a warehouse can be painted with 8L of paint.if this solution is directly proportional, how many litres of paint are required to paint a warehouse floor with an area of 100 m2

Answer 1

Given:

The area of the floor in the first case is A(1) = 40m².

The quantity of paint required for the first case is q(1) = 8L.

The area of the floor in the second case is A(2) = 100m².

The objective is to find the quantity of paint required.

Step-by-step explanation:

The quantity of paint required in second case q(2) can be calculated as,

`\begin{gathered} (A(1))/(A(2))=(q(1))/(q(2)) \\ q(2)=q(1)*(A(2))/(A(1))\text{ . }\ldots\text{ . (1)} \end{gathered}`

On plugging the given values in equation (1),

`\begin{gathered} q(2)=8*(100)/(40) \\ =20L \end{gathered}`

Hence, the quantity of paint required to paint the warehouse floor with an area of 100 m² is 20L.