i 18
---- = ----
100 25
25i 1800
----- = -------
25 25
i = 72
72%
Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
You have an algebraic expression in which you are solving for x. When you are solving for a variable, you need to isolate it all alone. Since you are multiplying by 1/5, you will have to undo it by multiplying by its reciprocal. In this case you are multiplying both sides by 5/1.
5/1 *1/5x = 121*5/1
x = 605
To check your answer, plug this value in for x and multiply it by 1/5. You should arrive at 121! Good luck!