Question

NO
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No. 6) Two parallelograms have the same base. If their altitudes are in the ratio 4:5, the ratio of their areas is :
a)3:4b) 4:5 c) 2:3 d) 5:4

Answer 1

Answer:

i dont knoww this answer

Answer 2

b) 4:5

The ratio of their areas is  4:5.

Explanation:

The area of a parallelogram = base x height.

Given : Two parallelograms have the same base.

Let b be the base of the parallelograms.

If their altitudes are in the ratio 4:5 , then let 4x and 5x are the altitudes $h_1$ and $h_2$ of the two parallelograms respectively.

Now , the ratio of  their areas  =$\dfrac{b\times h_1}{b\times h_2}$

$=\dfrac{h_1}{h_2}\\\\=\dfrac{4x}{5x}=\dfrac{4}{5}$

Hence, the ratio of their areas is 4:5.

Thus the correct answer is b) 4:5

# Learn more :

If hight and base of a triangle are in the ratio 4:3.If its area is 394cm^2.Then find hight and base.

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