Question

the perimeter of rectangle is 26 cm what are the dimensions if length is 3 cm more than that of the width​

Answer 1

Answer:

Length = 8 cm

Breadth = 5 cm

Step-by-step explanation:

Given,

Perimeter ( rectangle ) = 26 cm

Length ( l ) = 3 + Breadth ( b )

( i.e ),

l = 3 + b

l - b = 3 ------> eq 1.

Perimeter ( rectangle ),

2 ( l + b ) = 26

l + b = 26 / 2

l + b = 13 -------> eq 2.

Add eq 1 and eq 2,

l - b  = 3

l + b = 13

_______

2l + 0 = 16

2l = 16

l = 16 / 2

l = 8 cm

Substitute l = 8 in eq 2,

8 + b = 13

b = 13 - 8

b = 5 cm

Therefore,

Length = 8 cm

Breadth = 5 cm

Answer 2

Question:

The perimeter of rectangle is 26 cm what are the dimensions if length is 3 cm more than that of the width.

To find:

• Length of rectangle

• Width of rectangle

Given:

• Perimeter of rectangle = 26cm

• Length of rectangle is 3cm more than the width

Explanation:

To solve such type of questions first we have to suppose something. As here it's given length is 3cm more than width.therefore we have to suppose width as x and length as x+3. And then put their values in formula of perimeter. After solving the equation , finally we will get value of x. Which means we will get value of width. And we will get value of length by adding 3 with x.

Let's do it!

Let:

• Length of with of rectangle = x

• Width of rectangle = x+3

Answer:

We know:

$\sf{}perimeter \: of \: rectangle = 2(length + width)$

$:\implies \sf{}26= 2(x + 3+x)$

$:\implies\sf{}2x + 3 = \dfrac{26}{2}$

$:\implies\sf{}2x + 3 = \dfrac{ { \cancel{26}}^{ \: 13} }{ { \cancel{2}}^{ \: 1} }$

$:\implies \sf{}2x + 3 = 13$

$:\implies \sf{}2x = 13 - 3$

$:\implies \sf{}2x = 10$

$:\implies \sf{}x = \dfrac{ { \cancel{10}}^{ \: \: 5} }{ { \cancel{2}}^{ \: \: 1} }$

$:\implies \star \boxed{\sf{} x = 5} \star$

As we have supposed x as width

$\blue{\therefore\star \boxed{\sf{} Width= 5cm}\star}$

As we have supposed x+3 as length

$\blue{\therefore\sf{} length=5+3}$

$:\implies \blue{\star \boxed{\sf{} Length=8cm}\star}$

And all we are done !

:D