Question

The perimeter of a rectangle is 54 cm
The breadth of the rectangle is less than
its lenth by 3cm. Find the length
and breadth of the rectangle​

Answer 1

✬ The length of the rectangle is 15 and the breadth of the rectangle is 12✬

Step-by-step explanation:

Given: The Perimeter of a rectangle is 54 cm and the breadth of the rectangle is less than its length by 3 cm.

To find: Length and breadth of the rectangle

Required Formula:

• Perimeter of rectangle = 2(l + b)

❍ Let the length be x and breadth be x - 3 respectively.

Then,

$\\ : \implies \sf{54 = 2(x + x - 3)} \\ \\ : \implies \sf{54 = 2x + 2x - 6} \\ \\ : \implies \sf{54 = 4x - 6} \\ \\ : \implies \sf{54 + 6 = 4x} \\ \\ : \implies \sf{60 = 4x} \\ \\ : \implies \sf{x = \frac{ \cancel{60}}{ \cancel{4}}} \\ \\ : \implies \underline{ \boxed{\frak{x = 15}}} \: \gray{ \bigstar}$

Therefore,

• x = 15
• x - 3 = 15 - 3 = 12

Hence,

• The length is 15 cm and breadth is 12 cm.

Answer 2

Find:

 Length and breadth of the rectangle

Formula for the question:

Perimeter of rectangle = 2(l + b)

• Let the length be x and breadth be x - 3 respectively.

Then,

$\implies \rm{54=2(x+x−3)}$

$\implies \rm{54=2x+2x−6}$

$\implies \rm{54=4x-6}$

$\implies \rm{54+6=4x}$

$\implies \rm{60=4x}$

$\implies \rm{ \frac{60}{4} = x }$

$\implies \rm{15=x}$

Now,

•x =15

•x - 3 = 15 - 3 = 12

Hence,

▪︎The length is 15 cm and breadth is 12 cm.

Thank you!!

@itzshivani