Question

The length of rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 3 find the length and breadth of the rectangle

Answer 1

Correct Question :

›»› The length of rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 30 cm find the length and breadth of the rectangle.

______________...

Answer :

›»› The length and breadth of the rectangle are 10 cm and 5 cm.

Figure :

$\setlength{\unitlength}{2cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(7.7,3){\large\sf{A}}\put(7.4,2){\bf{\large{x cm}}}\put(7.7,1){\large\sf{B}}\put(9.3,0.7){\bf{\large{(x + 5) cm}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

Given :

• The length of rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 30 cm.

To Find :

• The length and breadth of the rectangle.

Solution :

Let us assume that, the breadth of rectangle is x cm.

As it is given that, the length of the rectangle is 5 cm more than its breadth.

→ x + 5.

To find the length and breadth of rectangle, we use the formula:-

❰ Perimeter = 2(l + b) ❱

• Perimeter = 30 cm.
• Length = x + 5 cm.
• Breadth = x cm.

According to the given question,

On putting the given values in the formula, we get

⟶ 30 = 2(x + 5 + x)

⟶ 30 = 2(x + x + 5)

⟶ 30 = 2(2x + 5)

⟶ 30 = 4x + 10

⟶ 30 - 10 = 4x

⟶ 20 = 4x

⟶ x = 20/4

⟶ x = 5

Therefore,

• Breadth = x = 5 cm.
• Length = x + 5 = 5 + 5 = 10 cm.

Hence, the length and breadth of the rectangle are 10 cm and 5 cm.

$\:$

Verification :

››› Perimeter = 2(l + b)

››› 30 = 2(5 + 10)

››› 30 = 2 * 15

››› 30 = 30

Here LHS = RHS

Hence Verified !

Answer 2

Answer:

Correct Question :

›»› The length of rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 30 cm find the length and breadth of the rectangle.

______________...

Answer :

›»› The length and breadth of the rectangle are 10 cm and 5 cm.

Figure :

Given :

The length of rectangle is 5 cm more than its breadth if the perimeter of the rectangle is 30 cm.

To Find :

The length and breadth of the rectangle.

Solution :

Let us assume that, the breadth of rectangle is x cm.

As it is given that, the length of the rectangle is 5 cm more than its breadth.

→ x + 5.

To find the length and breadth of rectangle, we use the formula:-

❰ Perimeter = 2(l + b) ❱

Perimeter = 30 cm.

Length = x + 5 cm.

Breadth = x cm.

According to the given question,

On putting the given values in the formula, we get

⟶ 30 = 2(x + 5 + x)

⟶ 30 = 2(x + x + 5)

⟶ 30 = 2(2x + 5)

⟶ 30 = 4x + 10

⟶ 30 - 10 = 4x

⟶ 20 = 4x

⟶ x = 20/4

⟶ x = 5

Therefore,

Breadth = x = 5 cm.

Length = x + 5 = 5 + 5 = 10 cm.

Hence, the length and breadth of the rectangle are 10 cm and 5 cm.

\:

Verification :

››› Perimeter = 2(l + b)

››› 30 = 2(5 + 10)

››› 30 = 2 * 15

››› 30 = 30

Here LHS = RHS

Hence Verified !