Answer:
- Base = 3 units
- Height = 7 units
- Area = 3 · 7
- = 21 units²
Step-by-step explanation:
Count the squares. The horizontal extent is 3 squares, so is 3 units.
The vertical extent is 7 squares, so is 7 units. We're only concerned with the vertical distance between the horizontal lines at the top and bottom of the figure. The slant distance along the side of the figure is irrelevant.
From there, fill the numbers into the blanks and do the multiplication. "bh" means multiply the Base value by the Height value.
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<em>Comment on units</em>
It is not quite true that 3·7 = 21 units². What is true is that ...
(3 units)·(7 units) = 21 units²
The equal sign should be treated with respect and care. What is found on one side must always be strictly equal to what is found on the other side. You cannot simply add "units²" to one side of the equation because you feel like it. There must be something corresponding on the other side of the equation.
You can actually multiply and divide units (and in Physics, you're expected to do so). The units can be attached to the numbers and treated in the math as though they were a variable. This can be especially helpful in area, volume, time/speed/distance, and unit-rate problems.
The triangles ABC and EDF are congruent, meaning they have the same side lengths and angles measures.
The measure of DF, as both triangles are congruent, is equal to the measure of BC.
We can calculate the length of BC using the distance formula:
![\begin{gathered} D=\sqrt[]{(x_c-x_b)^2+(y_c-y_b_{})^2} \\ D=\sqrt[]{(2-2)^2+(-1-4)^2} \\ D=\sqrt[]{0^2+(-5)^2} \\ D=\sqrt[]{(-5)^2} \\ D=|-5| \\ D=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20D%3D%5Csqrt%5B%5D%7B%28x_c-x_b%29%5E2%2B%28y_c-y_b_%7B%7D%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%282-2%29%5E2%2B%28-1-4%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B0%5E2%2B%28-5%29%5E2%7D%20%5C%5C%20D%3D%5Csqrt%5B%5D%7B%28-5%29%5E2%7D%20%5C%5C%20D%3D%7C-5%7C%20%5C%5C%20D%3D5%20%5Cend%7Bgathered%7D)
As BC is congruent with DF and BC=5, the length of DF is 5 units.
Answer:
C(x) = 
Step-by-step explanation:
Data provided in the question:
Area of the field = 3600 square feet
Fencing charges = $3.50 per foot
Let the side along the river be 'x' feet and the other side of the 'B'
now,
Area of rectangle = Bx = 3600 square feet
or
B =
feet
and total length to be fenced = x + 2B
therefore,
Total cost of fencing = Fencing charges × total length to be fenced
or
Total cost of fencing = $3.50 × ( x + 2B )
substituting the value of B from (1)
Total cost of fencing, C(x) = 
or
C(x) = 
Owner would lose out on $100