Question

i) Find the area of the parallelogram whose base is 4 cm and height is 9 cm

ii)Find the area of the triangle whose base is 4 cm and height is 5 cm​

Answer 1

Answer:

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Step-by-step explanation:

$Area \: \: of \: \: parallelogram \\ = b \times h\\ = 4 \times 9 \\ = 36 \: cm {}^{2} \\ - - - - - - - - \\Area \: \: of \: \: triangle \\ = \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = \frac{1}{2} \times 20 \\ \\ = 10 \: cm {}^{2}$

Answer 2

Let's solve both the questions one by one!

$\underline{ \underline{ \mathfrak{Answer \: i :-}}}$

Given :-

• The base of a parallelogram is 4 cm.
• It's height is 9 cm.

To find :-

• The area of the parallelogram.

Step-by-step explanation :-

• Here, the base and the height of a parallelogram has been given to us.

We know that :-

$\underline{\boxed{\sf Area \: of\: a\: parallelogram = Base \times Height}}$

Here,

• Base = 4 cm.
• Height = 9 cm.

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$\underline{ \mathfrak{Substituting \: the \: given \: values,}}$

$\boxed{ \tt Area = 4 \times 9}$

Multiplying the numbers,

$\overline{ \boxed{ \tt Area = 36 \: cm^2}}$

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• Hence, area of the parallelogram is 36 cm².

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$\underline{ \underline{ \mathfrak{Answer \: ii :-}}}$

Given :-

• The base of a triangle is 4 cm.
• It's height is 5 cm.

To find :-

• The area of the triangle.

Step-by-step explanation :-

• Here, the base and height of a triangle has been given to us.

We know that :-

$\underline{\boxed{\sf Area \: of \: a \: triangle = \dfrac{1}{2} \times Base \times Height.}}$

Here,

• Base = 4 cm.
• Height = 5 cm.

----------------

$\underline{ \mathfrak{Substituting \: the \: given \: values,}}$

$\boxed{ \tt Area = \dfrac{1}{2} \times 4 \times 5}$

Multiplying 4 by 5,

$\boxed{\tt Area = \frac{1}{2} \times 20}$

Reducing the numbers,

$\boxed{\tt Area = \dfrac{1}{1} \times 10}$

Now let's multiply the remaining numbers, since we can't reduce them anymore,

$\boxed{\tt Area = 1 \times 10}$

On multiplying the numbers,

$\overline{\boxed{\tt Area = 10 \: cm^2}}$

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• Hence, area of the triangle is 10 cm².