Question

I need help trying to figure out the square inches

Answer 1

Given that the four triangles are congruent, the total area of the figure is the area of the square plus 4 times the area of one triangle.

Recall that the area of a triangle is given by the formula:

`A=(base*height)/(2).`

Therefore, the area of one of the triangles is:

`A_(triangle)=(8in*4in)/(2).`

Simplifying the above result, we get:

`A_(triangle)=16in^2.`

Now, the area of a square is given by:

`A=side*side.`

Therefore, the area of the square is:

`A_(square)=4in*4in.`

Simplifying the above result, we get:

`A_(square)=16in^2.`

Finally, we get that:

`A_(total)=4A_(triangle)+A_(square)=4*16in^2+16in^2=80in^2.`

Answer:

`80in^2.`