Math, asked by sanjivpandey4283, 2 months ago

Q.22 The length of a parallelogram is 15 cm and it's breadth is 2/5 of
the length. Find it's perimeter?​

Answers

Answered by mysteriousworld
51

\bf{\huge{\underline{\boxed{\rm{\blue{Answer:}}}}}}

Given :-

Length of a parallelogram = 15 cm

Breadth of a parallelogram =

 \sf{\bf\small\frac{2}{5} \:   of \:  length.}

To find :-

Perimeter of the parallelogram

Solution :-

Length is 15 cm, and

 \sf{breadth  \: is  \: \bf\large\frac{2}{5}  \: of  \: length.}

Let's find the breadth.

Breadth = \bf\large\frac{2}{5} × 15

Breadth = 2 × 3

Breadth = 6 cm

Breadth of the parallelogram = 6 cm

Now, we can easily solve for the perimeter of the parallelogram using the formula.

\bf{\large{\underline{\boxed{\rm{\red{Perimeter\:of\:parallelogram\:=\:2\:(l\:+\:b) }}}}}}

Plug in the values in the above formula,

Perimeter = 2 ( 15 + 6)

Perimeter = 2 ( 21)

Perimeter = 42 cm

•°•Perimeter of the parallelogram is 42 cm

\bf{\huge{\underline{\boxed{\rm{\pink{Verification:}}}}}}

To verify the answer, we will check whether the breadth of the parallelogram will result in 6 cm after input of the value of perimeter in the formula.

Perimeter = 2 ( l + b)

42 = 2 ( 15 + b)

42 = 2 ( 15) + 2 ( b)

42 = 30 + 2b

42 - 30 = 2b

12 = 2b

\bf\large\frac{12}{2} = b

6 = b

Our answer is hence, right.

Answered by ManasweeMandal
1

42cm

Length=30cm

breadth=2/5*length

=2/5*15

=6cm

Perimeter=2*(length+breadth)

=2*(15+6)

=2*21

=42cm

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