David put 155 feet of plastic edging around the outside edge of the concrete surrounding his pool. The concrete in 17.5 feet wide, how long is the concrete.
help me solve please, very confused.
Let x = length. Solve for x.
(2*17.5) + 2x = 155
35 + 2x = 155
2x = 155 - 35
2x = 120
x = ?
60...thanks!
You're welcome.
To solve this problem, we need to determine the length of the concrete surrounding David's pool.
Let's assume that the length of the concrete is denoted by "L" feet.
The plastic edging is placed around the outside edge of the concrete, meaning that it forms a perimeter around the pool. The perimeter is the sum of all sides of a shape.
In this case, the perimeter of the concrete would be equal to the length of the plastic edging, which is 155 feet.
Now, the pool is in the shape of a rectangle, where the width of the pool is given as 17.5 feet.
The formula for the perimeter of a rectangle is P = 2(L + W), where P represents the perimeter, L is the length, and W is the width.
Plugging in the given values, we can set up the equation:
155 = 2(L + 17.5).
We can simplify the equation by dividing both sides by 2:
77.5 = L + 17.5.
To isolate L, we subtract 17.5 from both sides of the equation:
L = 77.5 - 17.5.
Calculating this expression:
L = 60.
Therefore, the length of the concrete surrounding David's pool is 60 feet.