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Vaselesa [24]
3 years ago
10

What is the area of the piece of red paper after the hole for

Mathematics
2 answers:
MakcuM [25]3 years ago
7 0

Answer:

     \large\boxed{\large\boxed{47unit^2}}

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>

<em />

<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>

<em />

<em>What is the area of the piece of red paper after the hole for the photograph has been cut?</em>

<em />

<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>

<em />

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:

  • 4-(-4)=4+4=8

The area of this square is    (8unit)^2=64unit^2

<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>

<em />

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

      d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}

The area is:

          (\sqrt{17}unit)^2}=17unit^2

<u>3. Area of the piece of red paper after the holw for the photograph has been cut:</u>

<u />

Find the difference:

<u />

         64unit^2-17unit^2=47unit^2

<em />

morpeh [17]3 years ago
7 0

Answer:

47

Step-by-step explanation:

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2 years ago
You start driving north for 12 miles, turn right, and drive east for another 16 miles. At
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Answer:

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Find the area: (I will give brainliest) +50 points.
scZoUnD [109]

Answer:

A_{total} = 16\ cm^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the top rectangle</u>

We can tell that the total shape seems like two rectangles glued together.  We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them.  Lets first solve the left rectangle.

A=l*w

A_{top\ rectangle}=6\ cm * 2\ cm

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<u>Step 2:  Determine the area of the bottom rectangle</u>

A=l*w

A_{bottom\ rectangle}=2\ cm * 2\ cm

A_{bottom\ rectangle}=4\ cm^2

<u>Step 3:  Determine the total area</u>

A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}

A_{total}=12\ cm^2+4\ cm^2

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Answer:  A_{total} = 16\ cm^2

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sgst

Step-by-step explanation:

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B(n)=4-6(n-1) find the fourth term
kompoz [17]

Answer:

b(4) = -14

Step-by-step explanation:

b(n)=4-6(n-1)

let n=4

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b(4) = 4-6*3

b(4) = 4-18

b(4) = -14

6 0
3 years ago
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