Question

Find area and perimeter of parallelogram given in the figure. D 180 C 1608​

Answer 1

Answer:

The perimeter of parallelogram is 54 cm.

The area of parallelogram is 144 cm².

Step-by-step-explanation:

NOTE: Refer to the attachment for the diagram.

In figure, in □ABCD,

• CD = 18 cm
• AD = 9 cm
• AE = 16 cm

We know that,

The opposite sides of a parallelogram are congruent.

∴ AB = CD

⇒ AB = 18 cm

Also,

BC = AD

⇒ BC = 9 cm

Now, we know that,

Perimeter of parallelogram = 2 ( a + b )

⇒ P ( □ABCD ) = 2 ( AB + BC )

⇒ P ( □ABCD ) = 2 ( 18 + 9 )

⇒ P ( □ABCD ) = 2 * 27

⇒ P ( □ABCD ) = 54 cm

∴ The perimeter of parallelogram is 54 cm.

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Now, we know that,

Area of parallelogram = Base * Height

⇒ A ( □ABCD ) = BC * AE

⇒ A ( □ABCD ) = 9 * 16

⇒ A ( □ABCD ) = 144 cm²

∴ The area of parallelogram is 144 cm².

Answer 2

Answer:

In this figure:-

• CD = 18cm
• AD = 9cm
• AE = 16cm

Then,

•°•AB = AC

⇝AB = 18cm

Also,

•°•BC = AD

⇝BC = 9cm

Now, We know that

Perimeter of parallelogram = 2( a + b)

⇝P (ABCD) = 2 (AB + BC)

⇝P (ABCD) = 2(18 + 9)

⇝P (ABCD) = 2 × 27

⇝P (ABCD) = 54cm

Then,

Area of parallelogram = Base × Height

⇝A (ABCD) = BC × AE

⇝A (ABCD) = 9 × 16

⇝A (ABCD) = 144cm²

Hence,

Perimeter of parallelogram is 54cm.

Perimeter of parallelogram is 54cm.Area of parallelogram is 144cm