A square picture frame measures 36 inches on each side. The actual wood trim is 2 inches wide. The photograph in the frame is su
rrounded by a bronze mat that measures 5 inches. What is the maximum area of the photograph
2 answers:
We need to figure out how much of the total area of the picture frame is usable. To do this, we need to figure out what is taken up by the frame and the mat.
The frame is 36 inches on a side.
We know the frame is 2 inches. We know that the the mat is 5 inches.
This means that on each 36 inch side, 4 inches are taken up by the frame (2 each side) and 10 inches by the mat (again, 5 each side). So the total length left is
36 - 4 - 10 = 32 - 10 = 22.
The maximum area of the photograph is therefore 22 x 22 = 484 square inches.
The frame is 36 inches on a side.
We know the frame is 2 inches. We know that the the mat is 5 inches.
This means that on each 36 inch side, 4 inches are taken up by the frame (2 each side) and 10 inches by the mat (again, 5 each side). So the total length left is
36 - 4 - 10 = 32 - 10 = 22.
The maximum area of the photograph is therefore 22 x 22 = 484 square inches.
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Answer:
Step-by-step explanation:
1. Make sure all your denominators are the same, you can do this by multiplying them all by 3 or 7, 2 and 1/3 would become 2 7/21, 3/7 would become 9/21, 2 and 1/3, would become 2 and 7/21, and so on and so forth, leaving us with
2+
/ 2
* 1
2. Now, I would go and solve each side of the equation because we divide them, we can add 2 and
together to get 2
, because 7 + 9 = 16
2 / 2
* 1
3. We can do the same thing to the other side, by multiplying the two of them. I'm going to convert both of them to just fractions, 2 becomes
and 1
becomes
*
Now we can reduce them, and for our first fraction divide the top and bottom by 7, giving us and the second one by 3, which gives us
*
now we cross divide, where we replace the 7's with ones because they're right across from each other to get
and
, or just 10.
* 10 =
4. So now we can do a similar thing with the first half of our equation and convert it into a fraction and not a mixed number.
/
Now we multiply divide them, and the easiest way I learned how to do this was by keep the first fraction in its place, and flipping the denominator and numerator of the second, and multiplying them.
so *
which if we multiply both sides, you get
I'll save you some times and simplify it for you, the greatest common factor is 6 so we divide the top and bottom by 6 to get