The distance across the front of the store is 294 feet. The distance from the front to the back is one-third of this distance. If the owners paint a sign all the way around the outside of the factory, how many feet long will the sign be?
You Must divide 294 by 1/3 to get the length of the missing side of the building. You get 98.
Then you add all the sides together to get the perimeter.
294+294+98+98=784
The sign will be 784 feet long.
The Melt in Your Mouth Chocolate Factory is a rectangular building. The distance across the front of the store is 294 feet. The distance from the front to the back (width) is one-third of this distance. If the owners paint a sign all the way around the outside of the factory, how many feet long will the sign be?
261.3
To find the length of the sign that will go all the way around the outside of the factory, we need to calculate the perimeter of the front and the perimeter of the other three sides of the factory.
First, let's find the length of the front of the store. Given that the distance across the front of the store is 294 feet, this is the same as the width of the front. So, the width of the front of the store is 294 feet.
Now, let's find the length from the front to the back of the store. It is mentioned that the distance from the front to the back is one-third of the width of the front. Therefore, the length from the front to the back is (1/3) * 294 feet = 98 feet.
To calculate the perimeter of the front of the store, you need to add the length of all four sides. Since opposite sides are equal in a rectangle, the perimeter of the front would be 2 * width + 2 * length = 2 * 294 feet + 2 * 98 feet = 588 feet + 196 feet = 784 feet.
Now, let's find the perimeter of the other three sides of the factory. Since the length from the front to the back is the same as the length of the other sides, the perimeter of the other three sides is (2 * length) + (2 * width) = (2 * 98 feet) + (2 * 294 feet) = 196 feet + 588 feet = 784 feet.
To find the total length of the sign that will go all the way around the outside of the factory, we add the perimeter of the front and the perimeter of the other three sides together. So, the sign would be 784 feet + 784 feet = 1568 feet long.