Question

Parth wants to fence his rectangular garden with double wire. If the sides of the garden are 25 m by 20 m and the cost of fencing one metre is ₹18, find the total cost of fencing the garden.​

Answer 1

A n s w e r

$\:\:$

G i v e n

$\:\:$

• Sides of the garden are 25 m by 20 m

• Cost of fencing one metre is ₹18

$\:\:$

F i n d

$\:\:$

• Cost of fencing the rectangular garden at ₹18 per metre

$\:\:$

S o l u t i o n

$\:\:$

We know that ,

$\:\:$

To find the cost of fencing the rectangular garden we need to have the length of fence which can be calculated by measuring the perimeter of rectangular garden

$\:\:$

$\underline{\bold{\texttt{Perimeter of rectangle :}}}$

$\:\:$

➠ 2(l + b) ⚊⚊⚊⚊ ⓵

$\:\:$

Where ,

$\:\:$

• l = Length

• b = Breadth

$\:\:$

$\underline{\bold{\texttt{Perimeter of rectangular garden :}}}$

$\:\:$

• l = 25 m

• b = 20 m

$\:\:$

⟮ Putting the values in ⓵ ⟯

$\:\:$

➜ 2(l + b)

$\:\:$

➜ 2(25 + 20)

$\:\:$

➜ 2(45)

$\:\:$

➜ 90 m.

$\:\:$

• Hence the perimeter of rectangular garden is 90 m.

$\:\:$

$\underline{\bold{\texttt{Cost of fencing :}}}$

$\:\:$

Rate of fencing × Length of fence

$\:\:$

• Rate of fencing = 18 per m.

• Length of fence = 90 m.

$\:\:$

So,

$\:\:$

➜ 18 × 90

$\:\:$

➨ Rs 1620

$\:\:$

• Hence the cost of fencing the rectangular garden is Rs 1620

$\:\:$

Additional information

$\:\:$

Area of rectangle

$\:\:$

• l × b

$\:\:$

Where ,

$\:\:$

➻ l = Length

➻ b = Breadth

$\:\:$