Answer:
Area = 126
Step-by-step explanation:
To figure out the area of the triangle, we must do 1/2 base times height. Which would be 1/2 of 6 times 6. Which is 18. Then to figure out the rectangle is just doing the width times the length and the same for the square. So 6 times 12 plus 6 times 6 equals 108. Then we add the triangles area and we come out with 108 plus 18 which equals 126.
3x+y=19
y=19-3x and y=x+3, at a solution both x and y are equal so we can say y=y:
19-3x=x+3
19-4x=3
-4x=-16
x=4, and since y=x+3
y=7 so the solution is the point:
(4,7)
Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
Well its a simplest form of zero and 6 tenths and if u divide it by 2 youll get 3/5 as a fraction