X^2 - 5x = 12
x^2 - 5x + 6.25 = 12 + 6.25
(x - 2.5)^2 = 18.25
x - 2.5 = (+-) sqrt 18.25
x = 2.5 (+ - ) 4.27
x = 2.5 + 4.27 = 6.77 <==
x = 2.5 - 4.27 = -1.77 <==
Answer:
240
Step-by-step explanation:
The rectangles area is 200 plus what the Triangles are which is 40. A=bxh/2
Simplifying
4x + 2(x + 6) = 36
Reorder the terms:
4x + 2(6 + x) = 36
4x + (6 * 2 + x * 2) = 36
4x + (12 + 2x) = 36
Reorder the terms:
12 + 4x + 2x = 36
Combine like terms: 4x + 2x = 6x
12 + 6x = 36
Solving
12 + 6x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 6x = 36 + -12
Combine like terms: 12 + -12 = 0
0 + 6x = 36 + -12
6x = 36 + -12
Combine like terms: 36 + -12 = 24
6x = 24
Divide each side by '6'.
x = 4
Simplifying
x = 4
You'll need to calculate the surface area to be painted. The room has two ends, 2 sides and 1 ceiling. The area of the ceiling is 18*20. The area of the two ends of the room is 2(8*18). The area of the two long walls is 2(8*20)
Add these areas together: 18*20 + 2*8*18 + 2*8*20, or 968.
That's 968 square feet. Since each can contains enough paint for 400 square feet of coverage, divide 968 by 400:
968
----- = 2.42. This means having to purchase 2.5 (gallons)
400 This answer is accurate to the nearest 0.5.
