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Answer 1

Question 1 -:

The base and the height of a triangle are 15.5cm and 10.5cm respectively. Find area of parallelogram having the same base and altitude.

Given:

• Base of triangle,b = 15.5cm
• Height of triangle, h= 10.5cm

To Find:

• Area of parallelogram.

Formula to be used:

-$\sf{Area\: of\: Parallelogram=2\times Area\: of\: Triangle}$

-$\sf{Area\: of\: Triangle=\large\frac{1}{2}(b\times h)}$

Solution:

For Finding the Area of parallelogram, find the area of Triangle. So,

$\rightarrow\mathsf{Area\: of\: Triangle=\large\frac{1}{2}(b\times h)}$

$\rightarrow\mathsf{Area\: of\: Triangle=\large\frac{1}{2}(15.5\times 10.5)}$

$\rightarrow\mathsf{Area\: of\: Triangle=\large\frac{1}{2}(162.75)}$

$\rightarrow\mathsf{Area\: of\: Triangle=\large\frac{162.75}{2}}$

$\rightarrow\mathsf{Area\: of\: Triangle=81.375}$

Now,

$\\ \rightarrow\mathsf{Area\: of\: Parallelogram=2\times (Area\: of\: Triangle)}$

$\rightarrow\mathsf{Area\: of\: Parallelogram=2\times (81.375)}$

$\rightarrow\mathsf{Area\: of\: Parallelogram=162.75{cm}^{2}}$

Hence, Area of Parallelogram is 162.75 cm²

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Question 2 -:

In figure, ABCD is parallelogram having base of 11m and a height of 6m. Join A to C and find the area of Triangle ACD.

Given:

• Base of Parallelogram ABCD= 11m.
• Height of Parallelogram ABCD= 6m.

Construction:

• Join A to C

Formula to be used:

$\sf{Area\: of\: Triangle=\large\frac{1}{2}(b\times h)}$

To Find:

• Area of Triangle ACD.

Solution:

In ∆ACD, Base and height are 11m and 6m respectively. So,

$\dashrightarrow\mathsf{Area\: of\: Triangle=\large\frac{1}{2}(b\times h)}$

$\dashrightarrow\mathsf{Area\: of\: Triangle=\large\frac{1}{2}(11\times 6)}$

$\dashrightarrow\mathsf{Area\: of\: Triangle=\large\frac{1}{2}(66)}$

$\dashrightarrow\mathsf{Area\: of\: Triangle=\large\frac{66}{2}}$

$\dashrightarrow\mathsf{Area\: of\: Triangle=33{m}^{2}}$

Hence, the area of triangle ACD is 33m².

[Note-: See the attachments for Figures.]

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Answer 2

$\huge\sf\red{Answer}$

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Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.