Question

the breadth of a rectangle is 5m more than its length.the perimeter of the rectangle is 30m. Find the length and breadth

Answer 1

Step-by-step explanation:

Let the length be of rectangle be x,

Then breadth = x+5

Perimeter of rectangle = 2(l+b)

30 = 2(x+x+5)

30 = 2×(2x+5)

30 = 4x+10

30-10 = 4x

20 = 4x

20/4 = x

x = 5

Therefore, length = 5 m

Breadth = x+5 = 10m

Hope it helps

Answer 2

Correct Question:-

The length of a rectangle is 5m more than its breadth . If the perimeter of the rectangle is 30m. Find the length and breadth.

To Find:-

• Find the length and breadth of rectangle.

Given:-

• The length of rectangle is 5m more than its breadth.
• The perimeter of rectangle is 30m.

Solution:-

Let the breadth of the rectangle be " x "

The length of rectangle be " x + 5 "

We know that:-

$\tt\implies \: Perimeter \: of \: rectangle = 2( \: l + b \: )$

️$\tt\implies \: 30 = 2 ( x + x + 5 )$

$\tt\implies \: 30 = 2 ( 2x + 5 )$

️$\tt\implies \: 30 = 4x + 10$

️$\tt\implies \: 4x = 30 - 10$

️$\tt\implies \: 4x = 20$

️$\tt\implies \: x = \cancel\dfrac{20}{4}$

️$\tt\implies \: x = 5$

Hence,

• Breadth of rectangle is 5
• Length of rectangle is 5 + 5 = 10

Verification:-

️$\tt\implies \: Perimeter = 2 ( l + b )$

$\tt\implies \: 30 = 2 ( 10 + 5 )$

️$\tt\implies \: 30 = 2 ( 15 )$

️$\tt\implies \: 30 = 30$