Question

length of a rectangle is greater than twice its breadth by 4 if the perimeter of the rectangle is 26 cm find its length and breadth

Answer 1

Hey dear!


Here is yr answer.....


let the breadth = x

length = 2x+4

perimeter = 26cm


Perimeter of rectangle = 2(l+b)

2(l+b) = 26

x+2x+4 = 26/2

3x+4 = 13

3x = 13-4

3x = 9

x = 9/3

x = 3


Breadth = 3cm


= 2x+4

= 2(3)+4

= 6+4

= 10


Length = 10cm


Hope it hlpz....

Answer 2

✬ $\large\red{\texttt{Length = 10 cm}}$ ✬

✬ $\large\red{\texttt{Breadth = 3 cm}}$ ✬

Step-by-step explanation:

Given:

• Length of a rectangle is greater than it's breadth by 4.
• Perimeter of rectangle is 26 cm.

To Find:

• What is the meaure of length & breadth ?

Solution: Let the measure of breadth be x cm. Therefore,

➼ Length of rectangle = 4 more than twice x

➼ Length = (2x + 4) cm

As we know that

★ Perimeter of Rectangle = 2(Length + Breadth) ★

A/q

• Perimeter = 26 cm

$\large\implies\purple{\texttt {26 = 2(Length + Breadth)}}$

$\large\implies\purple{\texttt {26 = 2(2x + 4 + x)}}$

$\large\implies\purple{\texttt {26 = 2(3x + 4)}}$

$\large\implies\purple{\texttt {26 = 6x + 8}}$

$\large\implies\purple{\texttt {26 – 8 = 6x}}$

$\large\implies\purple{\texttt {18 = 6x}}$

$\large\implies\purple{\texttt {18/6 = x}}$

$\large\implies\purple{\texttt {3 = x}}$

Hence,

➛ Breadth of rectangle is x = 3 cm

➛ Length of rectangle = 2(3)+4 = 10 cm

______________________

★ Verification ★

➮ $\large{\rm {26 = 2(10 + 3)}}$

➮ $\large{\rm {26 = 2 \times13}}$

➮ $\large{\rm {26 = 26}}$

$\large\boxed{\rm{Verified}}$