Question

If 5 people can fit into a 4ft X 4ft rectangle, how many people can fit into a square block that has a length of 124 feet ?

Answer 1

The number of people that can fit into a square block with a length of 124 feet is 38,416.

Step-by-step explanation:

To determine how many people can fit into a square block with a length of 124 feet, we'll use the information given: 5 people fit into a 4ft x 4ft rectangle. First, calculate the area of the 4ft x 4ft rectangle:

Area = Length x Width = 4 feet x 4 feet = 16 square feet

Now, determine the area of the larger square block with a length of 124 feet:

Area of larger square block = Length x Length = 124 feet x 124 feet = 15,376 square feet

Next, find out how many times the smaller rectangle can fit into the larger square block by dividing their areas:

Number of smaller rectangles in larger square = Area of larger square block / Area of smaller rectangle

Number of smaller rectangles in larger square = 15,376 square feet / 16 square feet = 961

Finally, since each smaller rectangle can accommodate 5 people, multiply the number of smaller rectangles by 5 to find the total number of people that can fit:

Total number of people = Number of smaller rectangles in larger square x People per smaller rectangle

Total number of people = 961 x 5 = 4,805

Therefore, in a square block with a length of 124 feet, 4,805 people can fit.

Please note: It's important to consider practical constraints such as the need for pathways, space for amenities, and other structures that would reduce the actual number of people the block can accommodate. This calculation assumes the entire space is available for people without any obstructions.

Answer 2

155 people can fit into the square block with a length of 124 feet.

Step-by-step explanation:

To find out how many people can fit into the square block with a length of 124 feet, we can set up a proportion using the dimensions of the rectangle and the square block. We know that 5 people can fit into a 4ft X 4ft rectangle. We can set up the proportion: 5/4 = x/124. To solve for x, we can cross-multiply and divide: 5 * 124 / 4 = x. Therefore, x is equal to 155 people. So, 155 people can fit into the square block with a length of 124 feet.