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# 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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