I don't understand this
1 answer:
Looking at the picture attached, you will notice that on one side, we have a side of length 7+5=12. Next, we have a side length of 4+5+2=11. Hence, as length*width=area for a rectangle, this is the overall area of the rectangle. Next, in the picture, there are clearly two sides taken out - a 2x5 as well as a 4x5 rectangle, which are subtracted from the total area, resulting in 11*12-2*5-4*5
Feel free to ask further questions!
Feel free to ask further questions!
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Answer:
- square: 9 square units
- triangle: 24 square units
Step-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
<h3>Square</h3>The spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
<h3>Triangle</h3>The same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
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<em>Additional comment</em>
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.
