Final answer:
The length of side PA in the kite is 6 units, determined by the formula for the area of a kite and solving for the unknown diagonal (PA) given the area of 60 sq. units and the other diagonal (LY) being 20 units.
Step-by-step explanation:
To find the length of side PA given that the area of the kite is 60 sq. units and one diagonal LY is 20 units, you need to use the formula for the area of a kite, which is Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals of the kite. Since we know the area (60 sq. units) and the length of LY (20 units), we can solve for the length of the other diagonal, which is PA. The area equation can be rearranged to PA = (Area * 2) / LY. Plugging in the given values:
PA = (60 * 2) / 20
PA = 120 / 20
PA = 6
Since PA is also given as x + 4, we can set up an equation x + 4 = 6 and solve for x:
x = 6 - 4
x = 2
Therefore, side PA of the kite equals 6 units, which corresponds to option B).