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HELP ME PLS!!!!!!!!!!!!!!!!!!!!!

HELP ME PLS!!!!!!!!!!!!!!!!!!!!!-example-1
User Rrowland
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2 Answers

2 votes
There’s a couple different ways you can approach this problem, but my method is finding the area of the whole rectangle and then subtracting the cut out parts of it.

The first step is finding the area of the rectangle. The length of the rectangle is 9.0, and the width is 3.5 + 2, which is 5.5.
9.0 x 5.5 is 49.5 as the area of the whole thing. Now let’s subtract the cut-out parts.

On the bottom left corner, it’s outlined to be a 2x2 square, the area of that is 4. But you can see! Only half of it is cut out. So the missing area on that side is 2.

Do the same for the right corner. See that it’s a 5x2 rectangle, equaling 10. Half of that is missing, too, because it’s cut perfectly diagonal. So the missing space is 5.

Finally, subtract all the missing space from the rectangle’s area. The area is 49.5. The missing space is a total of 7, if you add both of them.

49.5 - 7 is 42.5 as your answer! Did all of that make sense?
User Liang Wu
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4.9k points
6 votes

Answer:

42.5

Explanation:

First, we divide this shape into smaller shapes. We can divide this into 1 oblong rectangle, 1 square, 1 isosceles right triangle and 1 scalene right triangle. The dimensions of the rectangle are 9 x 3.5, so the area is 31.5. The area of the square is 2 x 2 = 4. The area of the isosceles triangle is (2 x 2)/2 = 2. The area of the last triangle is (5 x 2)/2 = 5.

Now, we add all these smaller areas. 31.5+4+2+5=42.5

User Jiejing Zhang
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