Answer:
The correct option is;
The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor
Step-by-step explanation:
Here we have a scale factor of 1:8
Therefore area of drawing = 1/2×base, b×height, h = 1/2×b×h
Hence, the area of the triangular sin will be given by 1/2×8×b×8×h
Area of triangular sign = 64 × 1/2×b×h
Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.
For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:
Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:
Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:
Thus, the total area is
Answer:
The perimeter of the figure is 64 centimeters.
Simplify the equation.
First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7
Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7
Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6
Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12
Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6
Hope this helps.
