Dwayne walks a total of 960 feet around 3 sides of a square city block. Which equation and solution show a correct way to find the perimeter, P, of the block?
3/4P = 960
P = 960 • 4/3
P = 1,280
To find the perimeter of the block, we need to calculate the sum of all four sides of the square block. Since Dwayne walks a total of 960 feet around 3 sides, we can use proportions to find the length of one side and then multiply it by 4 to get the perimeter.
Let's assume the length of one side of the square block is "x" feet.
The total distance walked around three sides is 960 feet, so we can set up the following proportion:
960 feet / (x feet + x feet + x feet) = 3
Simplifying this equation, we have:
960 / (3x) = 3
To find "x," we can cross-multiply:
960 = 3 * 3x
960 = 9x
Dividing both sides by 9, we get:
x = 960 / 9
Simplifying further, we have:
x = 106.6667 feet
Rounded to the nearest whole number, the length of one side is approximately 107 feet.
Now that we know the length of one side, we can find the perimeter by multiplying it by 4:
P = 4 * 107
P = 428
Therefore, the equation and solution to find the perimeter, P, of the square block is:
P = 4 * (960 / 9) = 428 feet
960/3 = 320 feet on one side
P = 4 * 320
P = ?