Question

I don’t under stand the problem, the m and the numbers, I think the operation is multipacation but other than that, all I know is that it’s algebra? So please help me to solve this “question in a nutshell”

Answer 1

`10m^2, 5.5m^2, 4m^2`

Explanation:

The problem can also be restated as: For a given amount of paint, how much of the wall can be painted?
`m^2` is the unit of area

For (a):

The painter has 12 liters of paint.

We need to know how many "1.2 liters" are there in "12 liters"
`12 / 1.2 = 10`

We have 10 "1.2 liters" and we know that for every "1.2 liters", we can cover `1m^2` of the wall.

Therefore, we can cover `10m^2` of the wall.

We can also use ratio and proportion.

For every 1.2 liters, the painter can cover `1m^2` or mathematically, 1.2:1
For every 12 liters, the painter can cover `x m^2` or mathematically, 12:x

Equating the ratios,
`1.2/1 = 12/x`
(ratios can also be written as fractions)
Multiplying both sides of the equation by `x`,
`1.2x = 12`
`x=10`

The same can be done for (b) and (c)

For (b):
Let `x` be the area of the wall painted
`1.2/1 = 6.6/x`
`1.2x = 6.6`
`x=5.5`

For (c):
Let `x` be the area of the wall painted
`1.2/1 = 4.8/x`
`1.2x = 4.8`
`x=4`

Hope this helps. :)