Question

Juanita has 3 rectangular cards that are 7 inches by 8 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards? How should the cards be arranged? O A. Connect the sides of the cards that are 7 in. long. OB. Connect the sides of the cards that are 8 in. long. Click to select your answer and then click Check Answer. 2 pants remaining Clear All Final Check Review progress Question 8 of 10 Back Next > search OL

Answer 1

In the above picture, we can see the two options

The perimeter of the first option is:

`P_1=2\cdot7+6\cdot8=62in`

The perimeter of the second option is:

`P_2=2\cdot8+6\cdot7=58in`

Therefore, the smallest perimeter is obtained connecting the sides of the cards that are 8 in long

The area of the larger polygon will be 3 times the area of one card