Question

b)The perimeter of a rectangle is 130 cm. The length is 5cm more than the breadth. The length and breadth are?

Answer 1

Answer:

130÷2=65

65-5=60

Breadth=60÷2=30

Leanth=30+5=35

Answer 2

Answer :

• Breadth is 30cm
• length is 35cm

Given :

• Perimeter of rectangle is 130cm
• length is 5cm more than the breadth

To find :

• length and breadth

Solution :

Given the length is 5cm more than the breadth so,

• let the length be (x + 5)cm
• let the breadth be x cm

Given perimeter of rectangle is 130cm

As we know that

• perimeter of rectangle = 2(l + b)

where l is length x + 5cm , b is breadth xcm and perimeter is 130cm

⇢ perimeter of rectangle = 2(length + breadth)

⇢ 2(x + 5 + x) = 130

⇢ 2(5 + 2x) = 130

⇢ 10 + 4x = 130

⇢ 4x = 130/10

⇢ 4x = 120cm

⇢ x = 120/4

⇢ x = 30cm

Breadth is 30cm

• Length = (x + 5) = 30 + 5 = 35cm
• breadth = x = 30cm

Verification :

• perimeter of rectangle = 2(l + b)

⇢ 2(35 + 30)

⇢ 2 (65)

⇢ 130cm