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Question

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is :


A
1:2
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B
1:1
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C
2:1
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D
3:1
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Solution

The correct option is B $$1 : 1$$
Given: $$ABEF$$ and $$ABCD$$ are two paralleologram with same base $$AB$$ and within same parallel lines $$AB$$ & $$FC$$. 
To find : The ratio of their areas.
Solution:
Let the perpendicular distance between $$AB$$ and $$FC$$ be $$h$$.
$$\therefore  area \ ABEF=$$ base $$\times$$ height $$=AB\times h$$
and $$\quad area \ ABCD=$$ base $$\times$$ height $$=AB\times h$$

$$\therefore \quad area \ ABEF:area \ ABCD$$
$$=AB\times h:AB\times h=1:1$$

Mathematics

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