A postcard has a perimeter of 22 inches and an area of 30 square inches, What are the

dimensions of the postcard?

5 by 6

Step-by-step explanation:

Set one side as x and set the other as y. We have 2x+2y=22, and x*y=30. We can isolate x in the first equation as x=11-y, then plug it into the second equation so we now have (11-y) * y=30. So, we can pull out y=5,6. Plugging that into the first equation, we have x=6,5. So, the dimensions are 5 by 6.

Since a postcard is a rectangle, there are going to be two sides of equal length and two other sides of equal length. Knowing that the area is 30 inches, area = length x width, that means that you can find factors of 30. For example, if you were to try 5 and 6 as the length and width, you would add 5+5+6+6. Which is 22. The length of the postcard is 6 inches and the height is 5 inches. 5x6.