Given:
Perimeter of rectangular swimming pool = 84 meters
Width of pool = 3/4 of the length
Let's find the length and width of the pool.
Since the swinning pool has the shape of a rectangle and we have the perimeter, to find the length and width, apply the perimeter of a rectangle formula:
![\text{Perimeter = 2(L + W)}](https://tex.z-dn.net/?f=%5Ctext%7BPerimeter%20%3D%202%28L%20%2B%20W%29%7D)
Where:
L is the length
W is the width.
Given:
W = ¾L
Substitute 84 for perimeter and ¾L for W.
Hence, we have:
![\begin{gathered} P=2(L+W) \\ \\ 84=2(L+\frac{3}{4}L) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D2%28L%2BW%29%20%5C%5C%20%20%5C%5C%2084%3D2%28L%2B%5Cfrac%7B3%7D%7B4%7DL%29%20%5Cend%7Bgathered%7D)
Let's evealuate the equation and solve for L.
We have:
![\begin{gathered} 84=2(L+0.75L) \\ \\ 84=2(1.75L) \\ \\ 84=3.5L \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2084%3D2%28L%2B0.75L%29%20%5C%5C%20%20%5C%5C%2084%3D2%281.75L%29%20%5C%5C%20%20%5C%5C%2084%3D3.5L%20%5Cend%7Bgathered%7D)
Divide both sides by 3.5:
![\begin{gathered} \frac{84}{3.5}=\frac{3.5L}{3.5} \\ \\ 24=L \\ \\ L=24\text{ meters} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B84%7D%7B3.5%7D%3D%5Cfrac%7B3.5L%7D%7B3.5%7D%20%5C%5C%20%20%5C%5C%2024%3DL%20%5C%5C%20%20%5C%5C%20L%3D24%5Ctext%7B%20meters%7D%20%5Cend%7Bgathered%7D)
To solve for the width W, substitute 24 for L in (W=¾L)
![\begin{gathered} W=\frac{3}{4}\times L \\ \\ W=\frac{3}{4}\times24 \\ \\ W=\frac{3\times24}{4} \\ \\ W=\frac{72}{4} \\ \\ W=18\text{ meters} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20W%3D%5Cfrac%7B3%7D%7B4%7D%5Ctimes%20L%20%5C%5C%20%20%5C%5C%20W%3D%5Cfrac%7B3%7D%7B4%7D%5Ctimes24%20%5C%5C%20%20%5C%5C%20W%3D%5Cfrac%7B3%5Ctimes24%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20W%3D%5Cfrac%7B72%7D%7B4%7D%20%5C%5C%20%20%5C%5C%20W%3D18%5Ctext%7B%20meters%7D%20%5Cend%7Bgathered%7D)
Therefore, the length of the swimming pool is 24 meters, while the width is 18 meters.
ANSWER:
Length = 24 meters
Width = 18 meters
-3(8-10) subtracting is the same as adding the opposite
-3(-2) multi. Negative times a negative becomes a positive
6
Answer:
6g-90h+6320gh-720h²-4480g²
Answer:
57.5 marbles rounding to 58 if you do not have partial marbles
Step-by-step explanation:
The number of marbles is equal to the percent of the marbles times the total number of marbles
23 = 40% total marbles
Change to decimal form
23 = .40 M
Divide by .40
23/.40 = .40M/.40
57.5 = M
This question is odd since you can't have part of a marble
I would round up and have 58 marbles
58 *.40 = 23.2 marbles
300=x+1.9x
I got this by dividing the problem into two parts x[the speed of the first half] plus 1.9x [the speed of the second half increased by 1.9] both of those together should give you 300.
I went further and solved this...If you placed 103.5 into this problem for x you should get 300.15!