Question

the length and breath of a rectangular park in the ratio 5:3. If it's perimeter is 64 m , then find its dimensions.
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Answer 1

Answer:

The length of the rectangular park = 20 m

The breadth of the rectangular park = 12 m

Step-by-step explanation:

Given :

• The length and breath of a rectangular park in the ratio 5:3

• The perimeter of the rectangular park = 64 m

To find :

• the dimensions

Solution :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 5x m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 3x m}\end{picture}$

Let

length = 5x

breadth = 3x

Perimeter of the rectangle = 2(length + breadth)

64 m = 2(5x + 3x)

64 = 2(8x)

 8x = 64/2

 8x = 32

 x = 32/8

 x = 4

The value of x is 4.

Substitute it,

➙ length = 5x

➙ length = 5(4)

➙ length = 20 m

➙ breadth = 3x

➙ breadth = 3(4)

➙ breadth = 12 m

Therefore,

The length of the rectangular park = 20 m

The breadth of the rectangular park = 12 m

Answer 2

$\sf{Answer}$

Step by step explanation:-

Answer :-

Dimensions of rectangular park length&breadth is 20m&12m

Given :-

Perimeter of rectangular park = 64m

Ratio of length and breadth = 5:3

To find :-

Dimensions of rectangle

Formulae:-

Perimeter of rectangle = 2(l+b)

Solution :-

So, let

• Length of rectangle = 5x
• Breadth of recatngle = 3x

We know formula

Perimeter of rectangle = 2(l+b)

Since ,

64 = 2(5x + 3x)

64 = 2(8x)

64 = 16x

x = 4

Finding dimensions :-

Length = 5x = 5(4) = 20m

Breadth = 3x = 3(4) = 12m

So, length and breadth of rectangle is 20m,12m

Required answer:-

Dimensions of rectangular park length&breadth is 20m&12m

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