Question

An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.

A kite with two top triangles with height of 7 inches and a base 9.5 inches. The bottom two triangles share the base but have a height labeled 12 inches.

Answer 1

180.5 in²

Explanation:

In the given question diagonals of the kite have been given as

`D_(1)` = 2 × 9.5 = 19 inches

`D_(2)` = 7 + 12 = 19 inches

Since kite is always in the shape of a rhombus and area of a rhombus is represented by

`(1)/(2)D_(1)` ×
`D_(2)`

So area of the kite =
`(1)/(2)` × 19 × 19

=
`(361)/(2)`

= 180.5 in²

Therefore, material required to prepare the kite will be 180.5 in²

Answer 2

The area of the two top triangles is
.. 2 * (1/2)*(9.5 in)*(7 in) = (9.5 in)*(7 in)

The area of the bottom two triangles is
.. 2 * (1/2)*(9.5 in)*(12 in) = (9.5 in)*(12 in)

Then the total area is
.. (9.5 in)*(7 in) +(9.5 in)*(12 in)
.. = (9.5 in)(7in +12 in)
.. = (9.5 in)(19 in)
.. = 180.5 in²