The amount of paint p needed to paint the walls of a room varies directly as the area A of the wall. If two gallons of paint is needed to paint a 40 sq meter wall, how many gallons of paint are needed to paint a wall with an area of 100 sq meters?

5 gallons

1 gallon is needed to paint 20 square meters.

100 / 20 = ?

The amount of paint p needed to paint the walls of room is directly proportional to the area A of the wall.if 2 ballons of paint is needed to paint a 40 sq meter wall,hown many gallons of paint are needed to paint a wall with an area of 100 sq.meters?

I need answers for exams

To solve this problem, we first need to determine the constant of variation, which relates the amount of paint needed to the area of the wall.

Let's denote the amount of paint needed as p and the area of the wall as A. According to the problem, p varies directly as A, which can be expressed as:

p = kA

where k is the constant of variation.

Next, we can use the information given in the problem to find the value of k. It states that two gallons of paint are needed to paint a 40 sq meter wall. So, we have:

2 = k * 40

We can solve this equation for k:

k = 2 / 40 = 1/20

Now that we have the value of k, we can use it to find how many gallons of paint are needed to paint a wall with an area of 100 sq meters. We substitute A = 100 into the equation:

p = (1/20) * 100 = 5

Therefore, 5 gallons of paint are needed to paint a wall with an area of 100 sq meters.