Question

The length of a rectangular park is twice its breadth. If the perimeter of the field is 300m, find the length and breadth of the field.

Answer 1

let the breadth =×
and the length of rectangle =2×
given , perimeter =300
2(l+b)=300
2(×+2×)=300
2(3×)=300
6×=300
×=300/6
×=50
therefore , the breadth of rectangle =50
and it's length =2×=2×50=100

Answer 2

Step-by-step explanation:

Given -:

• Length of a rectangular park is twice its breadth
• Perimeter of a rectangular park = 300m

To Find -:

• Length and breadth of a rectangular park

Assuming -:

Let us assume breadth as x

Then,

Length = 3x

Explanation -:

$\small \boxed{\rm \underline{Perimeter = 2(Length + breadth) }}$

$\small\rm{2(2x + x) = 300}$

$⤍\small\rm{2(3x) =300 }$

$⤍ \small\rm{6x = 300}$

$⤍ \small\rm{x = \frac{300}{6} = 50}$

$\small \boxed{\rm{ x = 50}}$

Length = 2x = 2 × 50 = 100m

Breadth = x = 50m

Verification -:

Perimeter = 2(Length + breadth)

→ 2(100 + 50)

→ 2(150)

→ 300m

Hence, proved.