Question

Find the area of the kite

Answer 1

ANSWER

The correct answer is A.

EXPLANATION

If you know the diagonals of a kite you can easily find the area.

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

From the graph, the from -5 to 4.

Using the number line approach. The longer diagonal is

$|4 - - 5| = |4 + 5| = |9| = 9 \: \: units$

Similarly the shorter diagonal is from -4 to 4

$|4 - - 4| = |4 + 4| = |8| = 8 \: \: units$

The area of the kite is:

$Area= \frac{1}{2} \times 8 \times 9$

$Area=4 \times 9$

This implies that

$Area=36 \: square \: \: units$

The first choice is correct.

Answer 2

Step-by-step answer:

Area of a kite is half of the product of the diagonals.

The length of diagonal in the x-direction is 4+5 = 9

The length of diagonal in the y-direction is 4+4 = 8

Therefore

Area of kite = 8*9/2 = 36 units.