Question

The length of a rectangle is 20 cm longer than its breadth. The perimeter of the
rectangle is 100 cm. What is the length of the rectangle

Answer 1

Answer:

Length of the rectangle is

35cm

Step-by-step explanation:

let the breadth of rectangle be x

then its length will be x+20cm

now perimeter of rectangle =2(l+b)

100=2(x+x+20)

100/2=2x+20

50-20=2x

30/2=x

15=x

Therefore breadth of the rectangle be 15cm

so length will be 15+20=35cm

Answer 2

Step-by-step explanation:

Given -

• perimeter of rectangle = 100 cm
• length of reactangle is 20 cm more than its breadth

To Find -

• What is the length of rectangle

Let x be the breadth of rectangle

Then,

(20 + x) is the length of reactangle

As we know that :-

• perimeter of rectangle = 2(l + b)

→ 2(20 + x + x) = 100

→ 20 + 2x = 50

→ 2x = 30

→ x = 30/2

→ x = 15 cm

Hence,

The breadth of the rectangle is 15 cm

And

The length is (20 + x) =

→ 20 + 15

→ 35 cm

Verification :-

perimeter = 2(l + b)

→ 100 = 2(35 + 15)

→ 100 = 2×50

→ 100 = 100

LHS = RHS

Hence,

Verified..

Additional information :-

• length of rectangle = l × b
• perimeter of rectangle = 2(l + b)
• Opposite sides of rectangle are equal.
• Each angle of rectangle is equal to 90°