Question

HALF THE PERIMETER OF A RECTANGLE IS 27M IT ITS LENGTH IS 3M MORE THAN IT'S BREADTH,THEN FIND ITS LENGTH AND BREADTH ​

Answer 1

Answer:

15m  and  12m

Step-by-step explanation:

Let the breadth of the rectangle be 'x' so the length should be 'x + 3'.

  Perimeter of rectangle = 2(l + b)

                         = 2(x + x+3)

                         = 2(2x + 3)

Given, half of the perimeter of the rectangle is 27 m.

∴ 1/2 of  2(2x + 3) = 27

   ⇒ 1/2 * 2(2x + 3) = 27

   ⇒ 1(2x + 3) = 27

   ⇒ 2x + 3 = 27

   ⇒ 2x = 27 - 3

   ⇒ x = 24/2

   ⇒ x = 12

Hence,

breadth of the rectangle = x = 12 m

length of the rectangle = x+3 = 12+3 = 15m

Answer 2

Given :

• Half the perimeter of a rectangle is 27m.
• Its length is 3m more than its breadth.

$\:$

To Find :

• Its length and breadth.

$\:$

Solution :

Let

• breadth = x
• length = x + 3

ATQ,

➦ $\sf{2 × (x + 3 + x) = 27 × 2}$

➦ $\sf{(x + 3) + x = \Large\frac{27 \: × \: 2}{2} }$

➦ $\sf{2x = 27 - 3}$

➦ $\sf{x = \Large{\cancel{\frac{24}{2}}} \small \leadsto \: 12}$

Hence,

• ⇒ breadth = 12m
• ⇒ length = (12 + 3) = 15m