Question

In figure,ABCD is a parallelogram are perpendicular to BC and CF perpendicular to CD if a b is equal to 16 cm a is equal to 8 cm and ac is equal to 10 cm find AD.
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Answer 1

Answer:

AB=CD=16cm

area of parallelogram=b×h

area of ABCD=CD×AE=AD×CF

16×8=AD×10

128=AD×10

12.8=AD

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Answer 2

AnsWer:-

AD = 12.8cm

Step-by-step explanation:

Given:-

• AE = 8cm
• CF = 10cm
• AB = 16cm

Need to find:-

• Length of AD

Formula used:-

• area of llgm = base×height

SOLUTION:-

As we know that,

Area of parallelogram = Base × Height

Putting values in this formula,

We get;

ar (llgm ABCD) => BC × AE

=> 16×8cm²

=> 128cm²

Therefore,

AE = 8cm --->1

Now,

ar (llgm ABCD) = AD ×CF = AD×10

From eq. 1,we have

=> 16×8 = AD×10

=> AD = 16×8/10

=> AD = 128/10

=> AD = 12.8cm

Hence, AD = 12.8cm.