Question

find the cost of fencing a rectangular park of length 250m and breadth 175 m at the rate of rupees 25 per metere​

Answer 1

➤ Given :-

Length of the rectangle :- 250 metres

Breadth of the rectangle :- 175 metres

Cost of fencing per metre :- ₹ 25

➤ To Find :-

Cost of fencing the whole park

➤ Solution :-

First, we should find the perimetre of the rectangular park by using the formula to find perimetre of rectangle

Perimeter of the rectangle :-

$\tt \longrightarrow 2 \: (length + breadth)$

$\tt \longrightarrow 2 \: (250 + 175)$

$\tt \longrightarrow 2 \: (425) = 2 \times 425$

${\tt \longrightarrow 850 \: \: Metres}$

Now,

Cost of fencing the park :-

${\tt \longrightarrow 850 \times 25}$

${\tt \longrightarrow Rs \: \: 21250}$

$\Huge\therefore$ The cost of fencing the whole park is ₹ 21250.

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$\dashrightarrow$ Some related formulas :-

Length :- ${\boxed{\tt\dfrac{Perimetre}{2} - Breadth}}$

Breadth :- ${\boxed{\tt\dfrac{Perimetre}{2} - Length}}$

Area (rectangle) :- ${\boxed{\tt Length \times Breadth }}$

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More to know :-

• Rectangle is a 4-sided, 2-D figure. The finding of area and perimeter of the rectangle is a sum in mathematics. It is a shape which has the opposite sides equal. The finding of area and perimeter of rectangle and many other figures is very useful in our daily lives.
• Finding the perimeter of rectangle is used when the park is being fenced or the house is getting a boundary etc.
• Finding the area of the rectangle is used when the park is being tiled or the floor of the house is getting mat on it.