When plotted on a grid, the paths between four neighborhood houses form the shape of a kite as shown.
The distance from House B to House D is 50 feet. The distance from House A to House C is 40 feet. What is the area of the
figure created by the four houses?
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Answer:

The area of the figure is 1,000 square feet

Step-by-step explanation:

we know that

The area of the kite ABCD

is equal to

[tex]A=\frac{1}{2}[AC*BD][/tex]

where

AC and BD are the diagonals of the kite

we have

[tex]BD=50\ ft\\AC=40\ ft[/tex]

substitute

[tex]A=\frac{1}{2}[40*50]=1,000\ ft^2[/tex]

Answer:

1000

Step-by-step explanation: