A Classroom bulletin board is 7 feet by 4 feet. If there is a picture of a student every 6 inches along the edge, including one in each corner, how many pictures are on the bulletin board? The teacher gave me the answer 40 but I don't know how.... Can you help me, please
Looks wrong to me.
2 pictures per foot, so that's 14 pics along the top and bottom (counting the corners), and
6 pictures along each side (not counting the corners)
14+14+6+6 = 40
I agree with Steve
Of course, I'll be happy to help you understand how to solve this problem!
To find the number of pictures on the bulletin board, we need to calculate how many pictures are along each side and then add them up. Here's how we can proceed:
Step 1: Calculate the number of pictures along the longer side (7 feet).
Since there is a picture every 6 inches, we can convert the 7 feet into inches: 7 feet = 7 * 12 = 84 inches.
To find the number of pictures along this side, we divide the length (84 inches) by the spacing between each picture (6 inches):
Number of pictures along the longer side = 84 inches / 6 inches = 14 pictures.
Step 2: Calculate the number of pictures along the shorter side (4 feet).
Since there is a picture every 6 inches, we can convert the 4 feet into inches: 4 feet = 4 * 12 = 48 inches.
To find the number of pictures along this side, we divide the width (48 inches) by the spacing between each picture (6 inches):
Number of pictures along the shorter side = 48 inches / 6 inches = 8 pictures.
Step 3: Calculate the total number of pictures on the bulletin board.
To get the total number of pictures, we add up the number of pictures along each side and subtract the overlapping corners (counted twice):
Total number of pictures = (Number of pictures along the longer side + Number of pictures along the shorter side) - 4 corners
Total number of pictures = (14 + 8) - 4 = 18 pictures.
Therefore, there should be 18 pictures on the bulletin board, not 40. I hope this explanation helps you understand how to solve the problem!