Question

Help me solve this equation but also explain it.

Answer 1

10

Explanation:

For my explanation I'll be referring to points labeled in the attached image.

Remember the formula for a triangle is:

`A=(bh)/(2)`

Where A is your area, b is your base, and h is your height.

Lets solve for the area of ABC

`A=(2*4)/(2)\\A=(8)/(2)\\ A=4`

Now lets solve for BGF

`A=(1*2)/(2)\\ A=(2)/(2) \\A=1`

FHE has the same base and height as BGF, therefore its area is also 1.

Now solve for the square CDGH

`A=2*2\\A=4`

Now find the sum of all areas

`A=4+1+1+4\\A=10`