Question

frame linear equations in two variable using the following information length of the rectangle is 4 cm more than its breadth , perimeter of rectangle is 40 cm​

Answer 1

Question:-

frame linear equations in two variable using the following information length of the rectangle is 4 cm more than its breadth , perimeter of rectangle is 40 cm

Answer:-

• The equation formed is 2(x + 4 + x) = 40.

To find:-

• The equation

Solution:-

• Perimeter of rectangle = 40 cm

Let,

• Length = x + 4 cm
• Breadth = x cm

As we know,

$\large{ \boxed{ \mathfrak{perimeter = 2(l + b)}}}$

Where,

• l = length of rectangle
• b = breadth of rectangle

The equation will be:

$\tt{ \large{2(x + 4 + x) = 40}}$

We have to find out the value of x,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: 2(2x + 4) = 40}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: 2x + 4 = \frac{40}{2} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: 2x = 20 - 4}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: 2x = 16}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = \frac{16}{2} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = 8}$

• The value of x is 8 cm

Now,

• Length of rectangle = x + 4 = 12 cm
• Breadth of rectangle = 8 cm

Hence,

The equation formed is 2(x + 4 + x) = 40.