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A picture frame holds 3 same-sized photos as shown. The distance between the photos is 1 inch. The distance from the edge of each photo to the edge of the frame is 1 inch. The picture frame holds photos that are 6 inches long and 4 inches wide. Question What is the area of the frame only? Answer options with 5 options A. 24 inches squared B. 48 inches squared C. 56 inches squared D. 72 inches squared E. 128 inches squared

Respuesta :

Answer:48

Step-by-step explanation: 4+4+4+2 inch border+2 inch separators 16

6+2 inch border. 16+16+8+8

vschluter28

Answer:

C. 56

Step-by-step explanation:

1. Find combined area of the photos

1. Find the of one photo

[tex](6)(4)= A[/tex]

[tex]24= A[/tex]

2. Multiply by 3 because there are 3 photos

[tex](24)(3)=[/tex] area of photos

[tex]72=[/tex] area of photos

2. Find the area of the picture frame

1. Length:

the length of one photo is 6 and there is a 1 inch gap from the edge of the photo to the edge of the picture frame so

[tex]6+1+1=[/tex] length of the picture frame

   [tex]6+2=[/tex]

      [tex]8=[/tex] length of the picture frame

2. Width

the width of each photo is 4, there is 1 inch in between each photo, and there is a 1 inch gap from the edge of the photos to the edge of the picture frame so

[tex]4(3)+1+1+1+1=[/tex] width of the picture frame

       [tex]4(3)+4=[/tex]

         [tex]12+4=[/tex]

             [tex]16=[/tex] width of the picture frame

3. Use these numbers to find the area of the picture frame

[tex]A =(16)(8)[/tex]

[tex]A=128[/tex]

4. Subtract the are of the photos from the area of the picture frame

[tex]128-72=[/tex]

     [tex]56[/tex]

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