Question

The length of a parallelogram is 15cm.if the breadth is 2/5 of the length. Find its perimeter.​

Answer 1

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

Given :-

• Length of a parallelogram = 15 cm
• Breadth of a parallelogram = $\bf\large\frac{2}{5}$ of length.

To find :-

• Perimeter of the parallelogram

Solution :-

Length is 15 cm, and 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.