Question

the length of a rectangle is 5 cm more than its breadth. if the perimeter of the rectangle is 96 cm. find the length and breadth of the rectangle ​

Answer 1

Answer:

perimeter=96

2(l+b)=96

2(5+x+x)=96

2(5+2x)=96

10+4x=96

4x=96-10

x=86÷4

x=21.5

So the length=21.5+5=26.5

and the breadth=21.5

please mark as best also

Answer 2

Answer:

Length of the Rectangle is 26.5 cm and Breadth is 21.5 cm.

Step-by-step explanation:

Given :

• Length of the Rectangle = 5 cm more than its breadth
• Perimeter of the Rectangle = 96 cm

To find :

• The Length and Breadth of the Rectangle

Solution :

✯ $\textbf{\small{\underline{Consider the -}}}$

• Breadth as x
• Length as (x + 5)

Perimeter of Rectangle = 2(Length + Breadth)

★ $\boxed{2(x+5+x)=96}$

$\longrightarrow \: 2(x + 5 + x) = 96$

$\longrightarrow \:2x + 10 + 2x = 96$

$\longrightarrow \:4x + 10 = 96$

$\longrightarrow \:4x = 96 - 10$

$\longrightarrow \:4x = 86$

$\longrightarrow \: x = \dfrac{86}{4}$

$\longrightarrow \:x = 21.5$

Breadth = 21.5 cm

$\rule{300}{1.5}$

★ Value of (x + 5)

$\longrightarrow \:21.5 + 5$

$\longrightarrow \:26.5$

Length = 26.5 cm

$\therefore$ Length of the Rectangle is 26.5 cm and Breadth is 21.5 cm.

$\rule{300}{1.5}$

Verification :

$\longrightarrow \:2(26.5 + 21.5) = 96$

$\longrightarrow \:53 + 43 = 96$

$\longrightarrow \:96 = 96$

$\therefore$ Length of the Rectangle is 26.5 cm and Breadth is 21.5 cm.