The Melt in Your Mouth Chocolate Factory is a rectangular building. The distance across the front of the store is 98 yards. 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?
Lets see.
all the way around: 2*front + 2 * side
= 2*98*3feet + 2*98*1/3*3=?
This is not the answer posted my maggie.
Sorry, Maggie.
check my thinking.
Exactly 261 and (1/3) feet long.
This is the sames as 261.333333333
front - 98 yards
side - 98/3 yards
total = 98 + 98 + 98/3 + 98/3 yards
As 1 yard = 3ft
total = 3 * (98 + 98 + 98/3 + 98/3) ft
total = 294 + 294 + 98 + 98 ft
total = 784 ft
To find the length of the sign, we need to calculate the perimeter of the rectangular building.
First, let's find the distance from the front to the back of the store. We know that it is one-third of the distance across the front.
So, we can calculate it by dividing the distance across the front by 3:
Distance from the front to the back = 98 yards / 3 = 32.67 yards
Now, let's calculate the perimeter of the building.
The perimeter of a rectangle is the sum of all its sides.
The distance across the front and back is the same, so we have two sides of length 98 yards each.
The distance from the front to the back is 32.67 yards, so we have two sides of length 32.67 yards each.
Perimeter = 2 * (Length of front/back + Length of sides)
Perimeter = 2 * (98 + 32.67) yards
Now, since we are asked for the length in feet, we need to convert the yards to feet.
There are 3 feet in 1 yard.
Perimeter = 2 * (98 + 32.67) yards * 3 feet/yard
Calculating the perimeter:
Perimeter = 2 * (130.67) yards * 3 feet/yard
Perimeter = 2 * 130.67 yards * 3 feet/yard
Perimeter = 2 * 392.01 feet
Perimeter = 784.02 feet
So, the length of the sign will be 784.02 feet.