Question

The length of a field is 10 metre more than the breadth of the field. If perimeter of the field is
100 m, find the dimensions of the field.​

Answer 1

Answer:

let the breadth be x

length=x+10

perimeter of the field=100m

perimeter of rectangular field=2(l+b)

100=2(x+10+x)

100÷2=2x+10

50=2x+10

50-10=2x

40=2x

40÷2=x

20=x

breadth=20m

length=20+10=30m

Answer 2

✫ Length = 30 m  ✫ 

✫  Breadth = 20 m  ✫

GIVEN:

• The length of a field is 10 metre more than the breadth of the field.
• The perimeter of the field is 100 m.

TO FIND:

• What is the length and breadth of the field ?

SOLUTION:

Let the Breadth of the rectangular field be 'B' m

According to question:-

➟ Length = Breadth + 10

➟ L = B + 10 ....1)

To find the perimeter of the rectangle, we use the formula:-

✧ Perimeter of rectangle = 2(Length + Breadth) ✧

According to question:-

$\implies$ 100 = 2( B + 10 + B) [from 1)]

$\implies$ 100 = 2(2B + 10)

$\implies$ 100 = 4B + 20

$\implies$ 100 – 20 = 4B

$\implies$ 80 = 4B

$\implies$ B = 80/4

$\implies$ B = 20 m

❛ Breadth of the field = 20 m ❜ 

➯ Length = Breadth + 10

➯ Length = 20 + 10

➯ Length = 30 m

❛ Hence, the Length of the field is 30 m ❜ 

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