Question

I'm definitely not understanding this question, please help! (try and explain if possible)

Answer 1

96 inches squared or
`96in^(2)`

Explanation:

So I'm assuming that the figure shown is the fragment that is left because it doesn't exactly say what it is.

The area of a rectangle is length times width, so to the area of the original manuscript is....

A=lw

A=20(12)

A=240

You get 20 from the question and 12 from the figure.

Next, you should find the area of the fragment that is left. I would split it up into two shapes, a triangle and recitable, since right now it's a weird looking shape. The area of a triangle is base time height divided by 2....

A=
`(bh)/(2)`

The base is 12 because 18-6=6 and the height is 12 because is the width of the original rectangle. (I suggest making a line in between fragment to spilt it into two shapes or even re-drawing it to see it more clearly.) Therefore plugging everything into the equation....

A=
`(12(12))/(2)`

A=
`(144)/(2)`

A=72

Now to find the area of the rectangle of the fragment that is left over, use the the same equation from above that was used to find the area of a rectangle and just plug in the numbers 12 and 6 because you can use the number on the top and the number on the side of the figure

A=12(6)

A=72

The final step is to subtract the area of the smaller rectangle and triangle from the original manuscript

240-72-72=96

Therefore the answer is
`96in^(2)`. Hope this helps. : )