Geometry SAT ACT Review Question on a Parallelogram

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#shorts #geometry

A nice parallelogram question that shows up on the SAT and ACT Exams
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There's a another way my method was to minus the square, so we can find base of the triangle.

Eq: 112-64 = 48

Since, the two triangles are equal to each other because two of the same triangles and a square will make a pallargram. So divide the area of both triangles 48 by 2 since we have two triangles we need one of the triangles.

Since we know the length of the square is 8 we need a length of the triangle to find the area of the triangle, so the area of a triangle is 1/2 (b×h).

Eq: 1/2(b×8)=24

Muiltple by 2 on both sides

b×8 = 48

Divide 8 on both sides

So, b=6

Plug in

24+24+64=112

Also, I love your method.

Chillago
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It would be much better if the question even asked for the length of AB or CD, as it requires one more step of using Pythagoras Theorem in order to get to the answer.

user
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since the diagonal sides of a parallelogram is congruent, then I can safely make another rectangle by combining the 2 slanted sides and that is 112-64 = 48, and since the side of the square is 8, I just need to divide 48 by 8 and it's as easy as that.

cracklelacquer
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Thank you for these kind of shorts best warm up for brain.
could you please increase the frequency of shorts.

amangoyal