Question

A parallogram and a triangle have common base If area of the triangle is 20cm² then find the area of parallogram​​

Answer 1

Answer :-

• The area of parallelogram is 40cm².

Step-by-step explanation:

Given :

• A parallelogram and a triangle have common base.
• The area of triangle = 20cm²

We know,

• Area of ∆ = 1/2 × base × height.
• Area of II gm = base × height.

In the following formulas, we are having base × height common.

∴ The base × Height of triangle is :-

⇢ 1/2 × base × height = 20

⇢ 1 × base × Height = 20 × 2

⇢ base × Height = 40cm²

According the question,

• The area of parallelogram :-

As we know that,

Area of parallelogram = base × height,

⇢ base × Height

⇢ 40cm²

Hence, The area of parallelogram is 40cm².

Answer 2

A N S W E R :

• The area of parallelogram is 40cm².

Given :

• A parallelogram and a triangle have common base

• The area of triangle = 20cm²

To find :

• Find the area of the parallelogram ?

Solution :

As we know that,

=> Area of triangle = 20cm²

=> Both have same Base i.e, = DC

=> Having same height too = AE

Now, We have,

• Formula Used :

Area of triangle = 1/2 × Base × Height

Area of parallelogram = Base × Height

Then,

• The area of parallelogram is :

=> Area of parallelogram = 2 × Area of the triangle

=> Area of parallelogram = 2 × 1/2 × Base × Height

• Triangle area, put the value = 20cm²

=> Area of parallelogram = 2 × 20

=> Area of parallelogram = 40cm²

Hence,

• The area of parallelogram is 40cm².