A scale drawing of a mural is 15 inches by 30 inches. The scale of the drawing is 1in:4ft. What is the ratio of the drawing's area to the mural area?

4 ft = 48 in, so the scale is 1:48

The areas are in the ratio 1:48^2 = 1:2304

Well, to find the ratio of the drawing's area to the mural area, we first need to calculate the areas of both.

The area of the drawing is given by multiplying its length by its width, which gives us 15 inches * 30 inches = 450 square inches.

Now, let's convert the scale of the drawing to feet. Since the scale is 1in:4ft, we know that 1 inch on the drawing represents 4 feet in reality.

The length of the mural in feet is therefore 15 inches * 4 feet/inch = 60 feet and the width is 30 inches * 4 feet/inch = 120 feet.

So, the area of the mural is 60 feet * 120 feet = 7,200 square feet.

To find the ratio, we divide the drawing's area by the mural's area:
450 square inches ÷ 7,200 square feet.

But hang on a second, we have a unit mismatch! We need to convert square inches to square feet, so let's do that.

There are 12 inches in a foot, so there are 12 * 12 = 144 square inches in a square foot.

Now we can do the conversion:
450 square inches ÷ 144 square inches/square foot = 3.125 square feet.

Therefore, the ratio of the drawing's area to the mural area is 3.125 square feet ÷ 7,200 square feet.

But hey, let's be honest, these numbers aren't very exciting. The ratio can be simplified to 1/2,304. That means you would need a microscope to see the drawing relative to the mural! Talk about fine details! 😄

To find the ratio of the drawing's area to the mural area, we need to calculate the areas of both the drawing and the mural.

The scale of the drawing is 1 inch : 4 feet, which means we need to convert the dimensions of the drawing to feet:
15 inches = 15/12 = 1.25 feet
30 inches = 30/12 = 2.5 feet

Now we can calculate the area of the drawing:
Area of the drawing = length × width = 1.25 feet × 2.5 feet = 3.125 square feet

To calculate the ratio of the drawing's area to the mural area, we need to compare their areas:
Ratio = Area of the drawing / Area of the mural

Since we don't have the dimensions of the mural, we can't calculate its area or determine the exact ratio.

To find the ratio of the drawing's area to the mural area, we first need to calculate the actual dimensions of the mural.

Given that the scale of the drawing is 1in:4ft, we can convert the inches to feet by dividing the inches by 12 (since there are 12 inches in a foot).

For the width:
15 inches ÷ 12 = 1.25 feet

For the height:
30 inches ÷ 12 = 2.5 feet

So the actual dimensions of the mural would be 1.25 feet by 2.5 feet.

To find the area of the drawing, we multiply the dimensions together:
15 inches × 30 inches = 450 square inches

To find the area of the mural, we multiply the dimensions together:
1.25 feet × 2.5 feet = 3.125 square feet

Now we can find the ratio of the drawing's area to the mural area:
450 square inches ÷ 3.125 square feet

To make the units match, we need to convert square inches to square feet by dividing by 144 (since there are 144 square inches in a square foot):
450 square inches ÷ 144 = 3.125 square feet

Now we can calculate the ratio:
3.125 square feet ÷ 3.125 square feet = 1

Therefore, the ratio of the drawing's area to the mural area is 1:1.