Question

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?

Answer 1

the answer 1000ft^2 is correct

Explanation:

1/2 x 40 x 50 = 1/2 x 2000

1/2 x 2000 = 1000ft^2

Answer 2

To find the area of this figure, let's use the formula for area of a kite: A =
`( d_(1) d_(2) )/(2)`.

A =
`( d_(1) d_(2) )/(2)`
A =
`((50)(40))/(2)`
A =
`(2000)/(2)`
A = 1000 ft²

The area of the kite figure created by the four houses is 1000 ft².