Question

What is the total area in square feet

Answer 1

Area = 336 ft²

Explanation:

1. Find the area of the square:

It's given that one side of the square is equal to 12 ft. In a square, all sides are equal, so to find the area of the square you do base x height.

12 ft x 12 ft = 144 ft²

2. Find the area of one of the triangles:

Since we already know that all sides of the square are equal to 12 ft, we know that the base of all four triangles are equal to 12 ft.

It is also given that the height of the triangle (the dotted line) is 8 ft while the hypotenuse of the triangle is 10 ft.

So, to find the area of the whole triangle you need to do 1/2 base x height.

`(1)/(2) * 12 * 8 = (96)/(2) = 48` ft²

3. Multiply the area of one of the triangles with 4:

There are four triangles, so you want to take the area we got for one of the triangles and multiply that by four to get the total area of all the triangles.

48 x 4 = 192 ft²

4. Add the total area of all four triangles and the square together:

Now, for the final step, add the total area of all four triangles together along with the area of the square from Step 1 to get the final total surface area in square feet.

192 ft² + 144 ft² = 336 ft²

Final Answer: 336 ft²

Answer 2

336ft

Explanation:

So, here is what we know:
There is 1 square

There are 8 triangles(each side has 2 triangles)

The base of the square = 12 ft, which is also the base of two triangles combined.

This means the base of each triangle is 6 ft.

The height of the triangle is 8ft

The hypotenus, which is 10ft, is not important to this question.

The formula for finding the area of a square is b^2(the square's base = b)

The formula for finding thh area of a triangle is 1/2 *b * h(the triangle's base = b)

So b^2 = 12^2 = 144

1/2bh = 1/2*6*8 = 24

Remember we have 8 triangles, so we multiply the area of one triangle by 8:

8*24 = 192

Now we add the traingles' area and the square's area:

144 ft+192 ft = 336 ft^2
So F is our answer!

Hope this helps!