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:
Where:
L is the length
W is the width.
Given:
W = ¾L
Substitute 84 for perimeter and ¾L for W.
Hence, we have:
Let's evealuate the equation and solve for L.
We have:
Divide both sides by 3.5:
To solve for the width W, substitute 24 for L in (W=¾L)
Therefore, the length of the swimming pool is 24 meters, while the width is 18 meters.
ANSWER:
Length = 24 meters
Width = 18 meters
w/4 = 43
Multiply by 4 for both sides
w/4(4)= 43(4)
Cross out 4 and 4 , divide by 4
w= 172
Answer: 172
The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
<h3>How to solve the variables?</h3>
<u>(1) y/3 + 6 = -3/2</u>
Multiply through by 3
y + 18 = -9/2
Subtract 18 from both sides
y = -18 - 9/2
Take LCM
y = (-18 * 2 - 9)/2
Evaluate
y = -45/2
<u>(2) -2r/3 - 3 = 3</u>
Multiply through by 3
-2r - 9 = 9
Add 9 to both sides
-2r = 18
Divide by 2
r = -9
<u>(3) 2/3 - 2x = x</u>
Multiply through by 3
2 - 6x = 3x
Add 6x to both sides
2 = 9x
Divide by 9
x = 2/9
<u>(4) 7x/2 + -5/2 = 9/2</u>
Multiply through by 2
7x - 5 = 9
Add 5 to both sides
7x = 14
Divide by 7
x = 2
Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2
Read more about fractions at:
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Answer:
a. same-side
Step-by-step explanation:
When the lines are parallel, the interior angles on the same side of the transversal are supplementary. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
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