Question

Gary’s playing the role of the Greek god Zeus in a school play he carries a lightning bolt cut from plywood its dimensions are shown in the figure what is the area of the wooden cutout of the lightning bolt

Answer 1

As the figure is not attached, I have attached the figure using the link- https://cdn.ple.platoweb.com/EdAssets/6764fbd04e1f4014be049f2831fd4e8c?ts=635356393812430000

Answer:

Area is 30 square inches.

Step-by-step explanation:

Given:

The wooden cutout of the lightning bolt consists of 2 right angled triangles with the legs being 10 inches and 3 inches.

The area of this lightning bolt will be equal to the sum of the areas of the two right angled triangles.

The area of a triangle of base 'b' and height 'h' is given as:

$A=\frac{1}{2}bh$

Here, $b=3, h=10$. Plug in solve for area of one of the triangles.

Therefore, area of the right angled triangle is:

$A=\frac{1}{2}\times 3\times 10=\frac{30}{2}=15\ in^2$

Now, the two right angled triangles are congruent. So, total area is twice the area of one of the triangle.

Therefore, total area of the lightning bolt is $2\times 15 = 30$ in².

Answer 2

Answer:

30 sq. in

Step-by-step explanation:

ed. 2021