dimensions of a pool the perimeter of a rectangular swimming pool is 192 feet find the length and the width of the pool if its width is one third of its length
P = 2L + 2W
192 = 2(3W) + 2W
192 = 6W + 2W
192 = 8W
24 = W
Take it from there.
To find the dimensions of the rectangular swimming pool, we'll let the length be represented by 'L' and the width be represented by 'W.' We are given that the width is one-third of the length, so we can write the equation: W = (1/3)L.
The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is given as 192 feet. The formula to calculate the perimeter of a rectangle is P = 2L + 2W.
Substituting W with (1/3)L in the perimeter formula, we have 192 = 2L + 2(1/3)L.
Now, we can solve for L.
192 = 2L + 2(1/3)L
192 = 2L + (2/3)L
192 = (6/3)L + (2/3)L
192 = (8/3)L
To isolate L, we multiply both sides of the equation by (3/8).
192 * (3/8) = L
L = 72
Now that we have the length, we can substitute it back into the equation for the width to find W.
W = (1/3)L
W = (1/3) * 72
W = 24
Therefore, the length of the pool is 72 feet and the width is 24 feet.