Question

The base of a parallelogram is twice its height. If the area of parallelogram is 112 cm² find the

base and height

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Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

• The height of parallelogram = 7.48cm.
• The base of parallelogram = 14.96cm.

Step-by-step explanation:

To Find :-

• The base of parallelogram
• The height of parallelogram

Solution:

Given that,

• The area of parallelogram = 112cm²

As we know that,

Area of parallelogram = b × h,

Where,

• b = Base
• h = Height

Assumption: Let us assume the height of parallelogram as x and the base of parallelogram as 2x,

Therefore,

• 2x*x = 112cm²

=> 2x*x = 112

=> (2x)(x) = 112

=> 2x² = 112

=> x² = 112/2

=> x² = 56

=> x = √56

=> x = 7.48

The value of x is 7.48, Now the base and height of parallelogram,

• Height of parallelogram

We assumed the height of parallelogram as x,

=> x

=> 7.48 cm

• Base of parallelogram

We assumed the base of parallelogram as 2x,

=> 2x

=> 2*7.48

=> 14.96 cm