Madeline uses this scale model of a design she plans to paint on a wall. She uses the key 1 cm = 1.5 ft. One gallon of paint will cover 400 square feet of wall.

How many gallons of paint will Madeline use?

someone please help

I have like 10 mins to figure this out-

since we have no idea how big the model is, we have no way to know how big the room is. But, when you figure that out, just divide the area by 400.

If the area of the model is m in^2, then the area of the room will be
(1.5m)^2 = (2.25m^2) ft^2

To determine how many gallons of paint Madeline will use, we'll need to calculate the total area of the wall and then divide it by the coverage area per gallon.

1. First, let's convert the scale from centimeters to feet. Since the key for the scale is 1 cm = 1.5 ft, we can say:

1 cm = 1.5 ft

2. Now, let's calculate the area of the design on the wall using the scale model. If Madeline's design on the scale model has a length of L cm and a width of W cm, we can calculate the area on the wall as follows:

Area on the wall = (L cm * (1.5 ft / 1 cm)) * (W cm * (1.5 ft / 1 cm))

3. Let's assume the length and width of Madeline's design on the scale model as L cm and W cm, respectively. Substituting these values into the formula from step 2, we get:

Area on the wall = (L cm * 1.5 ft) * (W cm * 1.5 ft)

4. The resulting area on the wall is in square feet. Now, let's divide this area by the coverage area per gallon to determine the number of gallons of paint Madeline will use:

Number of gallons of paint = Area on the wall / Coverage area per gallon

Assuming that Madeline knows the length (L cm) and width (W cm) of her design on the scale model, please provide those values so that I can calculate the number of gallons of paint she will use.

To determine the number of gallons of paint Madeline will use, we need to calculate the area of the wall that she plans to paint and then divide it by the coverage area of one gallon of paint.

First, we need to find the actual dimensions of the design on the wall. The given scale states that 1 cm on the scale model represents 1.5 ft on the wall. Let's assume the length of the design on the scale model is x cm.

Using the scale, the length of the design on the wall can be calculated as:
Length on the wall = x cm * 1.5 ft/cm

Similarly, let's assume the width of the design on the scale model is y cm. Then, the width of the design on the wall can be calculated as:
Width on the wall = y cm * 1.5 ft/cm

The area of the design on the wall can be found by multiplying the length and width:
Area of the design on the wall = (Length on the wall) * (Width on the wall)

Once we have the area of the design on the wall, we can then determine the number of gallons of paint required. We know that one gallon of paint will cover 400 square feet of wall.

Number of gallons of paint = (Area of the design on the wall) / (Coverage area of one gallon of paint)

By substituting the values and performing the calculations, you should be able to find the answer to the question.