This is a function true or false
1 answer:
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Answer:
B. The two dimensions are the same in the triangles as they were in the rectangle.
Step-by-step explanation:
Given
Initial Shape: Rectangle (Before cut)
Final Shape: Triangles (After cut)
<em>Note that this can be explained properly with the use of attachments</em>
See attachment 1 for Before Cut
Before Cut represent the full rectangle before Jackie cut the piece of paper.
Let H and B represent the height and base of the triangle
Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle
See attachment 2 for After Cut
After Cut represent the two triangles after cutting the rectangle
From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;
In other words, the two triangle have their heights as H and their bases as B.
Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.
Answer:
Step-by-step explanation:
Given
--- area of each square
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
The length of two squares make up the radius of the semicircle.
So:
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
The area of the semicircle is:
So, the area of the window is:
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
The area is:
The radius of the semicircle becomes initial radius + 4
The area is:
The area of the shade is:
