Question

the length of rectangle is thrice its breadth and its perimeter is 48 cm. find the length and breadth of the rectangle​

Answer 1

Given :-

• The length of rectangle is thrice its breadth and its perimeter is 48 cm

To find :-

• Length and breadth of rectangle

Solution :-

• Let the breadth of rectangle be x then length be 3x

• Perimeter of rectangle = 48 cm

As we know that

→ Perimeter of rectangle = 2(l + b)

Where "l" is length and "b" is breadth of rectangle

According to the given condition

→ Perimeter of rectangle = 48 cm

→ 2(l + b) = 48

Put the value of length and breadth

→ 2(3x + x) = 48

→ 2 × 4x = 48

→ 8x = 48

→ x = 48/8

→ x = 6

Hence,

• x = 6

Therefore,

• Breadth of rectangle = x = 6cm

• Length of rectangle = 3x = 18cm

Verification :-

• Length = 18cm
• Breadth = 6cm

Perimeter of rectangle

→ 2(l + b)

→ 2(18 + 6)

→ 2 × 24

→ 48cm

• Therefore verified

Extra Information :-

• Area of circle = πr²

• Circumference of circle = 2πr

• Area of rectangle = l × b

• Perimeter of square = 4 × side

• Area of square = side × side

• Area of rhombus = ½ × product of diagonals

• Area of Parallelogram = base × height

• Area of trapezium = ½ × sum of parallel sides × height

Answer 2

Given : the length of rectangle is thrice its breadth and its perimeter is 48 cm.

____________________

Step-by-step explanation:

Let the Breadth of the reactangle be x cm.

Therefore, Length will be 3x cm.

★ According to question now,

❅ Perimeter = 2 (Length + Breadth) ❅

➳ 2 (l + b) = 48

➳ 2 (3x + x) = 48

➳ 6x + 2x = 48

➳ 8x = 48

➳ x = 48/8

➳ x = 6

Therefore,

• Breadth of the reactangle = x = 6 cm

• Length of the reactangle = 3x = 3(6) = 18 cm