Question

The length of a rectangular plot of land is twice its breadth. If the perimeter of the plot be 300 m, find its length and breadth.

Answer 1

Answer:

Step-by-step explanation:

According to question

L=2B....(1)

PERIMETER OF RECTANGULAR PLOT=2(L+B)

300=2(2B+B)

150=3B

B=50 CM

Put value in EQ.1

L=100 cm

Answer 2

GIVEN:

• The length of a rectangular plot of land is twice its breadth.
• The perimeter of the plot is 300 m.

TO FIND:

• What is the length and breadth of the rectangular plot ?

SOLUTION:

Let the length of the rectangular plot be 'L' and breadth be 'B'

⚫ If the length of a rectangular plot of land is twice its breadth.

Then,

⠀⠀⠀$\bf{\star \: L = 2B...1) \: \star }$

We know that the formula for finding the perimeter of the rectangle is:-

$\bf{Perimeter\: of \: rectangle = 2(Length + Breadth)}$

According to question:-

On putting the given values in the formula, we get

$\sf{\mapsto 300 = 2(2B + B)}$ 【 From equation 1) 】

$\sf{\mapsto 300 = 2 \times 3B}$

$\sf{\mapsto 300 = 6B}$

$\sf{\mapsto B = \cancel\dfrac{300}{6}}$

$\bf{\mapsto \: \star \: Breadth = 50 \: m\: \star}$

❝ The Breadth of the rectangular plot is 50 m. ❞

Put the value of 'B' in equation 1)

$\sf{\mapsto L = 2 \times 50}$

$\bf{\mapsto \: \star \: Length = 100 \: m\: \star}$

❝ Hence, the Length of the rectangular plot is 100 m and breadth is 50 m ❞

VERIFICATION:

Put the values of 'L' and 'B' in the formula

➲ $\sf{ 300 = 2(100+50)}$

➲ $\sf{ 300 = 2 \times 150}$

➲ $\sf{ 300 = 300}$

➲ $\sf{ [L.H.S. = R.H.S.]}$

VERIFIED...