Question

The length of a rectangular playground is twice its width the perimeter is 30 find its dimension

Answer 1

Answer :-

• Dimensions of the rectangular playground are 5m and 10m respectively.

Given :-

• The length of a rectangular playground is twice its width and the perimeter is 30m.

To Find :-

• Dimensions of the rectangular playground.

Solution :-

Let

• Breadth of the rectangular playground be x
• Length of the rectangular playground will be 2x

Given

• The perimeter of the rectangular playground is 30m

As we know that

Perimeter of the rectangle is 2 (l + b)

Where

• l = length
• b = breadth

According to question :-

⇒2 (2x + x) = 30

⇒2 (3x) = 30

⇒6x = 30

⇒x = 30/6

⇒x = 5

Now

• Breadth of the rectangular playground = x = 5m
• Length of the rectangular playground = 2x = 2 × 5 = 10m

Hence, the dimensions of the rectangular playground are 5m and 10m respectively.

Answer 2

Given :

• The length of a rectangular playground is twice its width
• Perimeter is 30 m

To Find :

• Dimensions

Solution :

• Let the width be x then the length will be 2x
• Perimeter of rectangle = 2( l + b )

• According to the question :

$\implies \sf 2(x\:+\:2x)\:=\:30$

$\implies \sf 2(3x)\:=\:30$

$\implies \sf 3x\:=\: \dfrac{30}{2}$

$\implies \sf 3x\:=\: 15$

$\implies \sf x\:=\: \dfrac{15}{3}$

$\implies \sf x\:=\:5$

• Therefore , width of rectangular playground is 5 m .
• Length = 2x = 2(5) = 10 m

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