A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material. KI=6in, ET=8in & KT=10in. How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch.

31 square inches
34 square inches
48 square inches
62 square inches

Respuesta :

The correct answer is:

C. 48 square inches.

[tex]|Huntrw6|[/tex]

The amount of material needed for the entire kite is 48 square inches

The given parameters:

KI =6 inches

ET = 8 inches

KT=10 inches

Area of ΔKIT = 17 square inches

Start by calculating the area of the bottom triangle using:

[tex]Area = 0.5 * Base * Height[/tex]

So, we have:

[tex]Area = 0.5 * KT * KI[/tex]

This gives

[tex]Area = 0.5 * 10 * 6[/tex]

[tex]Area = 30[/tex]

The amount of material used is then calculated as:

[tex]Material = 17 + 30[/tex]

[tex]Material = 47[/tex]

This is approximately 48

Hence, 48 square inches of material is used for the entire kite,  quadrilateral KITE

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