Answer: We cannot provide a complete answer as there is no diagram attached to the question. However, based on the information provided, we can make an educated guess as to which equation Mike can use to determine the amount of material, in square inches, needed to create the kite.
Since Mike constructed the kite by attaching two congruent triangles, we can use the formula for the area of a triangle, which is:
A = (1/2) * base * height
To find the area of both triangles, we need to know the base and height of each triangle. Without a diagram, we cannot determine the exact dimensions of the triangles.
However, based on the answer choices provided, we can make an assumption that the kite is made up of two congruent right triangles, each with legs of length 6 inches and 8 inches. Using this assumption, we can determine the area of each triangle and then multiply by 2 to get the total area of the kite.
Using the formula for the area of a triangle, we get:
A = (1/2) * base * height
= (1/2) * 6 * 8
= 24
So the area of each triangle is 24 square inches, and the total area of the kite is:
A = 2 * 24
= 48
Therefore, the equation that Mike can use to determine the amount of material, in square inches, needed to create the kite is likely to be:
G. A = [12(6)(8)]⋅2
This equation corresponds to the area of two congruent right triangles with legs of length 6 inches and 8 inches.
Explanation: