We are asked to find the area of of a given figure. Since its diagonals are perpendicular, we know it is a kite. The area of a kite is half the product of its diagonals. We assume that the longer diagonal bisects the shorter diagonal.
By the Segment Addition Postulate, the length of the longer diagonal is 4+ 10= 14 cm. Keeping in mind that the longer diagonal bisects the shorter one, let's now find its length.
Once again, by the Segment Addition Postulate, the length of the shorter diagonal is 4+ 4= 8 cm. Using the diagonal lengths, let's find the area of the kite.
