Question

The length of a field exceeds the breadth by 3 m. If the perimeter of the field

is 42 m, find the length and breadth of the field.​

Answer 1

Answer:

Given :-

• Length of field is 3 m more than breadth
• Perimeter of field = 42 m

To Find :-

Length and Breadth

Solution :-

$\mathfrak \red {\underline{ \dag \: As \: we \: know \: that}}$

$\sf \pink{Perimeter = 2(Length + Breadth)}$

Let the breadth be x

Hence, Length will be x + 3

$\tt \: 42 = 2(x + 3 + x)$

$\tt \: 42 = (2 \times x) + (2 \times 3) + (2 \times x)$

$\tt \: 42 = 2x + 6 + 2x$

$\tt \: 42 = 4x + 6$

$\tt \: 42 - 6 = 4x$

$\tt \: 36 = 4x$

$\tt \: x \: = \cancel \dfrac{36}{4}$

$\tt \: x \: = 9$

$\mathfrak \orange{ Breadth = 9m}$

$\mathfrak \blue{Length = 9 + 3 = 12 \: m}$

Answer 2

★Given that, The length of a field exceeds the breadth by 3m and the perimeter is 42m.

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To Find:

• the length and breadth of the rectangle

now let the length be, x+3

and the breadth be, x

$\sf\pink{perimeter:}$ 2(length +breath)

⟹$\sf\blue{perimeter = 2(x+x+3)}$

⟹$\sf\red{42 = 2(2x+3)}$

⟹$\sf\purple{42 = 4x+6}$

⟹$\sf\green{42-6=4x}$

⟹$\sf\pink{36=4x}$

⟹$\sf\blue{x= \cancel \frac{36}{4}}$

⟹ $\mathbb{\underline{\boxed{\purple{x=9m}}\star}}$

now breath = 9m

length = 12m (9+3m)

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hope this helps.!