Answer: A= 144 ft ²
To solve ABC, we need to first find the height of DEF. We’ll do this by writing out the formula for area, and solving for the variable.
The equation is: A= 1/2bh
Now let’s substitute the values we know into this equation
A=1/2bh
*substitute values*
6=1/2(4•h)
*distribute*
6=2•1/2h
*subtract 2 on both sides*
4=1/2h
*divide both numbers by 1/2*
8=h
Now that we know that let’s take a look at the scale factor from DEF to ABC. It appears that the ABC is three times bigger than DEF.
This would mean that just as the base is three time’s bigger, so is the height. The height of ABC is now 24 (8•3).
With this information, let’s find the area
A=1/2bh
*fill in base and height*
A= 1/2(12•24)
*multiply 12 and 24*
A=1/2•288
*multiply 1/2 and 288*
A= 144 ft ²
This is your answer! Hope this helps comment below for more questions :)
