Question

Max wants to decorate a 2-inch border around the edge of a poster he is making. He drew this diagram to show how it should look.

Answer 1

To find the area of the border, you must find the area of the larger rectangle and the area of the smaller rectangle. Then you will subtract the smaller rectangle from the larger rectangle. We are give the length and width of the larger rectangle as 18 and 12. So 18 x 12 = 216. Now we must find the area of the smaller rectangle. To do that we must find the length and width. We know the the border is 2 inches so that means that the smaller rectangle is shorter than the larger rectangle by 2 inches on each side. So if the larger rectangle is 18 by 12 than the smaller rectangle has to be 14 by 8 because we are subtracting 2 on each side. So now we multiple 14 x 8 = 112. Finally we can subtract the smaller rectangle from the larger, so 216 - 112 = 104. The border is 104 square inches. Hope this helps and if so, please leave a good rating and thanks and maybe even brainliest answer. Thank you. I really appreciate it. Have a nice day!