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2 answers:
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Answer:
Explanation:
The complete question is:
<em>A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.</em>
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<em>On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).</em>
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<em>What is the area of the piece of red paper after the hole for the photograph has been cut?</em>
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<h2><em>Solution</em></h2><em />
The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.
<u>1. Area of the big rectangle</u>
Vertices:
- <em>(- 4, 4) </em>
- <em>(4, 4)</em>
- <em>(4, -4)</em>
- <em>(-4, -4)</em>
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The side length is the distance between two consecutive vertices:
The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:
The area of this square is
<u>2. Area of the small square</u>
Vertices:
- <em>(-3, -2)</em>
- <em>(- 2, 2) </em>
- <em>(2, 1)</em>
- <em>(1, -3)</em>
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To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):
The area is:
<u>3. Area of the piece of red paper after the holw for the photograph has been cut:</u>
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Find the difference:
<u />
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9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can perform the division and look at the quotient and remainder to convert an improper fraction to a mixed number.
23 ÷ 6 = 3 r 5 ⇒ 23/6 = 3 5/6 ≠ 4 1/6
11 ÷ 4 = 2 r 3 ⇒ 11/4 = 2 3/4 ≠ 2 1/2
35 ÷ 4 = 8 r 3 ⇒ 35/4 = 8 3/4
15 ÷ 8 = 1 r 7 ⇒ 15/8 = 1 7/8
40 ÷ 12 = 3 r 4 ⇒ 40/12 = 3 4/12 = 3 1/3
