Question

(05.02)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 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches.
142.5 square inches
105 square inches
37.5 square inches
34 square inches

Answer 1

(A) 142.5 square inches

Explanation:

It is given that A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches that is:

DE=5in, EC=7.5in, EB=14in

Now, area of the two top triangles of the kite=
`2((1)/(2){*}EC{*}DE)`

=
`EC{*}DE`

=
`7.5{*}5`

=
`37.5 square inches`

Also, area of the two bottom triangles of the given kite=
`2((1)/(2){*}EC{*}EB)`

=
`EC{*}EB`

=
`7.5{*}14`

=
`105 square inches`

Therefore, the total area of the kite=area of the two top triangles of the kite+area of the two bottom triangles of the given kite

=37.5+105

=142.5 square inches.