6. A kite has diagonals 5.3 ft and 6 ft. What is the area of the kite? (1 point)5.65 ft²
15.9 ft²
31.8 ft²
22.6 ft²

Question

6.   A kite has diagonals 5.3 ft and 6 ft. What is the area of the kite?  (1 point)5.65 ft²
15.9 ft²
31.8 ft²
22.6 ft²

anonymous · Answer

C?

mathstudent55 · Answer

The area of a kite is half the product of the diagonals.

anonymous · Answer

i did 5.3*6

mathstudent55 · Answer

|dw:1365453353838:dw|

mathstudent55 · Answer

Notice in the kite above that the lengths of the diagonals are the same as the lengths of the length and width of the rectangle. If you multiply the lengths of the diagonals, you get the area of the rectangle. Now notice that for each triangle inside the kite (for example, 1b, 2b, ...) there is a corresponding congruent triangle inside the rectangle but outside the kite (1a, 2a, ...). Therefore, the area of the kite is half the area of the rectangle. Since the area of the rectangle is the product of the length and width of the rectangle, and we saw above that the length and width of the rectangle are the same as the diagonals of the kite, then the area of the kite is half the product of its diagonals.

anonymous · Answer

D

anonymous · Answer

@e.mccormick

anonymous · Answer

I'm very confused

e.mccormick · Answer

Hi there!  It looks like he went over the key parts.

e.mccormick · Answer

Ah.  OK.  Well, he was trying to show you how the kite was a bunch of triangles.

anonymous · Answer

I got C at first but now I'm not sure....

e.mccormick · Answer

OK.  Well, before I look at the answers, you understand the relationship between the area of a rectangle and a triangle?

anonymous · Answer

No thats what confused me like I get it but i dont't

mathstudent55 · Answer

Forget everything below my first answer. Did you see my first answer which just simply explains how to find the area of a kite?
Read it again. It's just below your question 
C?

anonymous · Answer

What diagnals or may I say which?

e.mccormick · Answer

OK.  It is one of those underlying principas, bu doing it with the whole kite might have been too much.  And C is not right.

anonymous · Answer

is there a step I did wrong what is the easiest way to do this

e.mccormick · Answer

Lets try one rectanhle and one triangle.|dw:1365454989511:dw|
The area of a rectangle is the Base times the Height.  The right triangle is HALF the base times the height.  That word, HALF, is very critical in this kite problem.