The base and corresponding height of a parallelogram are 6 cm and 8 cm respectively. Find the corresponding height if the base is taken as 12 cm.
Given: The base and corresponding height of a parallelogram are 6 cm and 8 cm respectively.
The base of the parallelogram is 12cm.
To do: Find the corresponding height of the parallelogram.
Solution:
We know that area of parallelogram=base$\times$height = b$\times$h
Here,b=10cm and h=12cm
So, area=10$\times$12
=120$cm^2$
Now, it is the same parallelogram but now h=8cm
we have to find the area is same=120$cm^2$
area=b$\times$h
120=b$\times$8
b=$\frac{120}{8}$=15cm
Hence,corresponding base will be 15cm.
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