Answer:
a) 11x
b) x=14
Step-by-step explanation:
So we know that there are 2 shapes
a triangle and a rectangle
The area for a triangle is b*h/2
The area for a rectangle is L*W
Now we know the height and the base for the triangle and we know the length and width of the rectangle
So lets do the triangle first
So we know the height is 6 and the base is x.
Now 6*x is 6x.
And 6x/2 is 3x.
now we know that the triangle angle is equal to 3x
now the rectangle is 8*x
which is 8x
now we know the rectangle (8x)
now we add them up since it’s asking for the total area
Now its 11x
So thats part A, 11x is the expression
A expression is Without a equal sign and it’s used as a basic formula for he unknown variable
The equation now for part b is
11x=154
now that is the equation becuase we sole for x and we an use the previous expression becuase now we know what the area is.
now solve for x and you’ll get x=14.
