Question

The area of a rectangular plot is 391 square and its breadth is 17 m . Find the lenght of the plot and the cost of fencing at the rate of rs.3.50 per sq.m.

Answer 1

Answer:

Length = 23m

Cost of fencing = rs.1368.5

Step-by-step explanation:

l×b = area of the rectangle.

l×17 = 391

l = 391/17

l = 23

So the length is 23m.

Now,

Cost of fencing at 1 sq.m. = rs.3.50

Cost of fencing at 391 sq.m. = 3.50 × 391

= rs.1368.5

Hope it helps...........

Answer 2

➤ Given :-

Area of the rectangular plot :- 391 m²

Breadth of the rectangular plot :- 17 m

Rate of per metre² :- ₹ 3.50

➤ To Find :-

Length and rate for fencing the plot........

➤ Formulas required :-

Length of the rectangular plot :-

${\mathfrak{\large{ \dashrightarrow\orange{ \boxed{ \mathfrak\gray{ \dfrac{Area \: of \: the \: Rectangle}{Breadth \: of \: the \: Rectangle} }}}}}}$

Rate of fencing the park :-

$\large{ \dashrightarrow \orange{ \boxed{ \mathfrak{ \gray{Area \: of \: Rectangle \: \times \: 3.50 }}}}}$

➤ Solution :-

Length of the rectangle :-

$\tt \longrightarrow \dfrac{391}{17}$

$\tt \longrightarrow \cancel \dfrac{391}{17} = 23$

Now,

Rate of fencing the park :-

Area $\times$ Rate of each m²

$\tt \longrightarrow 391 \times 3.50$

$\tt \longrightarrow₹1368.5$

$\Huge\therefore$The length of the rectangular plot is 23 metres and rate of fencing the plot is ₹ 1368.5

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$\dashrightarrow$Some related formulas :-

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

Breadth of rectangle :- $\boxed{\tt Area \div Length }$

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More to know………

• A rectangle is a 2-D shape,with 4 sides. Finding the area of reactangle is one of the problem in mathamatics. It is represented by the formula - 'Length × Breadth'.
• It is used when fencing the park, making of furnitures like tables etc.......