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7 votes
7 votes
Using the measurements shown, which of these parallelograms is it

possible to work out the area of?

Using the measurements shown, which of these parallelograms is it possible to work-example-1
User Scott Greenfield
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1 Answer

11 votes
11 votes

Answer:

B, D, E

Explanation:

We can find the area of B since the height and lengths is known, so the area is just 2*4 = 8 cm^2
D also has the height and length given, it is 4*3 = 12 cm^2
E gives 3 values, but only focus on the height and length, which are 2 and 5 respectively. 3 is also a side length, but there is no height to match that length. The area of E is 2*5 = 10 cm^2

The reasons A, C, and F don't work:
A seems like it would work, until you realize that 5 is a height, not a length, and so is 2. They are both heights, and multiplying heights together won't usually get you an accurate area unless the shape is a rectangle.
C has a length, but no height. the 3 cm is pretty much an arbitrary measurement.
F has two lengths, which would only give the area if the shape was a rectangle, which it is not.

User Chris Berlin
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3.2k points