Question

the length and breadth of a rectangular field are in the ratio of 7 : 4 if its perimeter is 440 metres, find its length and breadth​

Answer 1

Answer:

★ Given:-

●Ratio of length and breadth=7:4

● Perimeter of rectangular field=440

★ Solution:-

Let's consider the length as 7x m

And the breadth as 4x m.

According to question:-

2(7x+4x)=440

Putting the value of x into length's position,

Length = 7x m

Length = 7 × 20 m

★ Length = 140 m

Putting the value of x in the breadth's position,

Breadth = 4x m

Breadth = 4 × 20 m

★ Breadth = 80 m

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Step-by-step explanation:

Answer 2

ANSWER :-

• Length is 140m and breadth is 80m.

GIVEN :-

• Length and breadth of rectangular field are in ratio 7:4.
• Perimeter of rectangular field is 440m.

TO FIND :-

• Length and breadth of rectangular field.

TO KNOW :-

★ Perimeter of rectangle = 2(length+breadth)

SOLUTION :-

Let the length and breadth of rectangular field be 7x and 4x respectively as ratio is 7:4.

Perimeter = 440m

Putting values ,

→ 440 = 2 ( 7x + 4x )

→ 440 = 2 ( 11x )

→ 440 = 22x

→ x = 440/22

→ x = 20

Hence ,

• Length = 7x = 7(20) = 140m
• Breadth = 4x = 4(20) = 80m

Hence , length of rectangular field is 140m and breadth is 80m.

VERIFICATION :-

→ 2 ( length + breadth ) = Perimeter

→ 2 ( 140 + 80 ) = 440

→ 2 ( 220 ) = 440

→ 440 = 440 (verified)

MORE TO KNOW :-

★ Perimeter of square = 4 × side

★ Perimeter of rhombus = 4 × side

★ Circumference of circle = 2πr

★ Perimeter of parallelogram = 2(l+b)