Question

the length and breadth of a rectangular field is in the ratio 6:5. if the perimeter is 880m, find the dimension​

Answer 1

☆ Solution ☆

Given :-

• The length and breadth of a rectangular field is in the ratio 6:5.

• The perimeter of the rectangular field is 880 m.

To Find :-

• The dimensions of the rectangular field.

Step-by-Step-Explaination :-

Let,

• The length of the rectangular field be 6x

• The breadth of the rectangular field be 5x

Now,

As we know that :-

Perimeter of rectangle = 2 ( length + breadth )

Where,

• The perimeter of the rectangular field = 880 m.

• The length of the rectangular field = 6x

• The breadth of the rectangular field = 5x

Putting the respective value,

880 = 2 ( 6x + 5x )

880 = 2 × 11x

880 = 22x

880/22 = x

40 = x

Thus,

The length of the rectangular field = 6x = 6 × 40 = 240

The breadth of the rectangular field = 5x = 5 × 40 = 200

Hence,

The length of the rectangular field is 240 m.

The breadth of the rectangular field is 200 m.

Answer 2

Answer:

• Length= 240 m
• Breadth = 200 m.

Step-by-step explanation:

Question -

the length and breadth of a rectangular field is in the ratio 6:5. if the perimeter is 880m, find the dimension.

ㅤ

Given-

• Dimensions in ratio= 6:5
• Perimeter = 880 m.

ㅤ

To find-

• The dimensions of the rectangular field.

ㅤ

Solution -

Let the above mentioned ratios in the question be perceived as -

$\pink\bigstar$ length= 6x

$\purple\bigstar$Breadth= 5x

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Now let's find their values by the given formula to find the perimeter.

$\underline{\boxed{\sf\red{Perimeter_{(recatngle)} = 2(length+breadth)}}}$

$880 = 2(6x + 5x) \\ \\ 880 = 2 \times 11x \\ \\ 880 = 22x \\ \\ \frac{880}{22} = x \\ \\ 40 = x$

ㅤ

So, dimension are-

$\pink\rightarrow$ 6x= 6×40=$\tt\blue{240 m. }$

$\purple\rightarrow$ 5x=5×40=$\tt\orange{200 m.}$