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

Area of a triangle is base times height divided by 2. I multiplied 5 times 14 and got 70. The divided by 2 and got 35. soooo, 34?

Answer 2

Answer:

(A) 142.5 square inches

Step-by-step 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=$2(\frac{1}{2}{\times}EC{\times}DE)$

=$EC{\times}DE$

=$7.5{\times}5$

=$37.5 square inches$

Also, area of the two bottom triangles of the given kite=$2(\frac{1}{2}{\times}EC{\times}EB)$

=$EC{\times}EB$

=$7.5{\times}14$

=$105 square inches$

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.