Question

the perimeter of a rectangle is 13 cm and its width is 2 3/4 cm. then is length is​

Answer 1

☆ Solution ☆

Given :-

• The the perimeter of a rectangle is 13 cm and its width is $2 \dfrac{3}{4}$ cm.

To Find :-

• The length of rectangle.

Step-by-Step-Explaination :-

Let the length of rectangle be x cm .

As we know that :-

Perimeter of rectangle = 2 ( l + b )

Putting the respective value,

= $2 \times \dfrac{3}{4}$

= $2 ( x + \dfrac{11}{4})$

Given that ,

Perimeter of rectangle = 13

Therefore,

According to the question,

=> $( x + \dfrac{11}{4} ) = 13$

=> $x + \dfrac{11}{4} = \dfrac{13}{2}$

=> $x = \dfrac{13}{2} - \dfrac{11}{4}$

=> $x = \dfrac{26}{4} - \dfrac{11}{4}$

=> $\dfrac{15}{4}$

=> $3 \dfrac{3}{4}$ cm

Hence,

The length of rectangle = $3 \dfrac{3}{4}$ cm

Answer 2

$\huge{\boxed{\rm{Question}}}$

The perimeter of a rectangle is 13 cm and its width is $2 \frac{3}{4}$ then is length is ____

$\huge{\boxed{\rm{Answer}}}$

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

• Perimeter of rectangle = 13 cm.

• Width of rectangle = $2 \frac{3}{4}$

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• Length of rectangle.

$\large{\boxed{\boxed{\sf{Solution}}}}$

• Length of rectangle = $3 \frac{3}{4}$

$\large{\boxed{\boxed{\sf{We \: also \: write \: these \: as}}}}$

• Length as L.

• Width means Breadth.

• Breadth as B.

• Perimeter as P.

$\large{\boxed{\boxed{\sf{Using \: formula}}}}$

• Perimeter of rectangle = 2(l+b)

$\large{\boxed{\boxed{\sf{What \: does \: the \: question \: says}}}}$

$\large{\boxed{\boxed{\sf{Let's \: understand \: the \: concept \: 1st}}}}$

• This question says that there is a rectangle. And the perimeter of this rectangle is given as 13 cm. And it's width is $2 \frac{3}{4}$ . Afterwards it ask us to find the length of rectangle.

$\large{\boxed{\boxed{\sf{How \: to \: solve \: this \: question}}}}$

$\large{\boxed{\boxed{\sf{Let's \: see \: the \: procedure \: now}}}}$

• To solve this question we have to use a formula to find perimeter afterthat reversing and putting the values we get our final result that is

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

According to the question, let's carry on

We have to use the formula to find perimeter of rectangle. It's formula is given below again.

• Perimeter of rectangle = 2(l+b)

Where,

• l means length.
• b means breadth.

As we know that P and L is given we have to find the B we have to solve this question like this.....

Perimeter = 2(l+b)

13 cm = 2 ( $2 \frac{3}{4}$ + breadth )

$2 \frac{3}{4}$ means $\frac{11}{4}$

13 = 2 ( 11/4 + b )

13 = 11/4 + 2b

b = 13/2 - 11/4

Taking LCM of 2 and 4 we get 4

b = 26/4 - 11/4

b = 15/4

b = $3 \frac{3}{4}$