ABCD and EFGH are squares. If JH=5 and JC = 8, then what is the area of the shaded region?
Since EFGH is a square, EH is equal to JC, which is 8. Since ABCD is a square, AB is equal to EH, which is also 8. Therefore, the side length of square ABCD is 8.
Since JH is 5, the side length of square EFGH is 5.
The area of square ABCD is side length squared, so the area is 8^2 = 64.
The area of square EFGH is side length squared, so the area is 5^2 = 25.
The area of the shaded region is the area of square ABCD minus the area of square EFGH, so the area of the shaded region is 64 - 25 = 39.