The area of a kite is 51.68 square inches. one diagonal measures 15.2 inches. what is the measure of the other diagonal?
a) 3.4 inches
b) 6.8 inches
c) 13.6 inches
d) 15.2 inches

we know that

The area of a Kite is equal to

where

D1 and D2 are the diagonals of the kite

In this problem we have

Substitute in the formula and solve for D2

therefore

the answer is the option B

hi,

3. 12.15, you are correct.

4.2.01, your first digit is correct,

hope this !

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.