Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
Use the midpoint formula,
Answer:
15400√5−45π
Step-by-step explanation:
Rewrite the expression, pull the terms out from the radical, cancel the common factors, and multiply.
Answer:
The area of the larger rectangle is 
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its areas is equal to the scale factor squared
and the ratio of its corresponding sides is equal to the scale factor
Let
z-----> the scale factor
x-----> the area of small rectangle
y-----> the area of larger rectangle
so
we have
substitute and solve for y
<h3><em><u>$21.07 is the answer</u></em></h3>
<h3>Divide $84.28 by 4, you will get 21.07 which will be the answer....I hope this helped you</h3>
