You are redecorating your bedroom and want to place two posters on the wall. Your wall is 10 feet, 9 inches long and each poster is 24 inches across. You want to make sure that the distance in between posters and the distance from each poster to the walls is equal. Your brother thinks you should place the posters about 40 inches from the wall. Is your brother's estimate reasonable?
To determine if your brother's estimate is reasonable, let's calculate the total space that the posters and the gaps between them will occupy.
Each poster is 24 inches across, and you want to have an equal distance on both sides of each poster. Therefore, the total width that both posters and the gaps between them will occupy is:
2 posters * 24 inches/poster = 48 inches
We need to convert the length of your wall to inches to make the comparison easier:
10 feet * 12 inches/foot = 120 inches
9 inches
Now, let's calculate how much space is left on the wall after accounting for the posters and gaps:
120 inches - 48 inches = 72 inches
If you want to have equal gaps on both sides of each poster, you need to divide this remaining space by 3 (for the two gaps and one side of one poster):
72 inches / 3 = 24 inches
So, according to the calculations, the actual distance from each poster to the walls should be around 24 inches, not 40 inches as your brother suggested. Therefore, your brother's estimate is not reasonable.