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Standard VIII

Mathematics

Construction of Parallelogram When Two Adjacent Sides and the Included Angles Are Given.

A parallelogr...

Question

A parallelogram has sides of 12 cm and 8 cm. If the distance between the 12 cm sides is 5 cm. Find the distance between 8 cm sides. [4 MARKS]

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Solution

Concept : 1 Mark
Process : 2 Marks
Result : 1 Mark

According to the question, if base = 12 cm and height = 5 cm
So, area = base $\times$ height = 12 $\times$ 5 = 60 $c m^{2}$

Now, if base = 8 cm and now we know that area of a parallelogram is 60 $c m^{2}$

So, Distance between 8 cm sides = $\frac{60}{8}$ = 7.5 cm

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A parallelogram has sides of 12 cm and 8 cm. If the distance between the 12 cm sides is 5 cm. Find the distance between 8 cm sides. [4 MARKS]

Concept : 1 Mark Process : 2 Marks Result : 1 Mark According to the question, if base = 12 cm and height = 5 cm So, area = base × height = 12 × 5 = 60 cm2 Now​, if base = 8 cm and now we know that area of a parallelogram is 60 cm2​ So, Distance between 8 cm sides = 608 = 7.5 cm