Question

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

Answer 1

Answer:48

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

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

Answer 2

C. 56

Explanation:

1. Find combined area of the photos

1. Find the of one photo

`(6)(4)= A`

`24= A`

2. Multiply by 3 because there are 3 photos

`(24)(3)=` area of photos

`72=` 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

`6+1+1=` length of the picture frame

`6+2=`

`8=` 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

`4(3)+1+1+1+1=` width of the picture frame

`4(3)+4=`

`12+4=`

`16=` width of the picture frame

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

`A =(16)(8)`

`A=128`

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

`128-72=`

`56`