Question

The length of a rectangular park is twice of breadth .if perumeter is 120meters find the length and breadth of the park.
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Answer 1

$\boxed{\red{\sf{Given:}}}$

• The length of the park is twice as its breadth
• The perimeter of the rectangular park is 120 m

$\boxed{\blue{\sf{To\ find:}}}$

The length and breadth of the rectangular park.

Now,

• Let the breadth be x m

• So, according to the question, the length is twice the breadth so length s 2x m

$\star$ The formula used to find the periemter of rectangle is

= 2(length + breadth) units

⇒ Perimeter = 120

⇒ 2(l + b) = 110

⇒ 2(2x + x ) = 120

⇒ 3x = 120 ÷ 2

[By taking 2 to RHS]

⇒ 3x = 60

⇒ x = 60 ÷ 3

[By transporting 3 to RHS ]

∵ x = 20

Thus,

The breadth of the rectangular park is x = 20 m

And the length of the rectangular park is = 2x = 2 × 20 = 40 m

Answer 2

Answer:

Let the Breadth be n and Length be 2n.

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(7.7,3){\large\sf{A}}\put(7.6,2){\sf{\large{n}}}\put(7.7,1){\large\sf{B}}\put(9.2,0.7){\sf{\large{2n}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Perimeter=2(Length+Breadth)\\\\\\:\implies\sf 120\:m = 2(2n + n)\\\\\\:\implies\sf 120\:m = 2 \times 3n\\\\\\:\implies\sf \dfrac{120\:m}{2 \times 3} = n\\\\\\:\implies\sf n = 20\:m$

$\rule{180}{1.5}$

$\underline{\bigstar\:\textsf{Dimensions of the Rectangle :}}$

$\bullet\:\:\textsf{Length = 2n = 2(20 m) = \textbf{40 m}}\\\bullet\:\:\textsf{Breadth = n = \textbf{20 m}}$