Question

The area of rectangle 340sq.m and its breadth is 17m.Find the cost surrounding the plot with fence at Rs10 *
1 point
Rs 7400
Rs4700
Rs 740
Rs 470

Answer 1

Question:-

The area of rectangle 340sq.m and its breadth is 17m.Find the cost surrounding the plot with fence at Rs10 _____.

a) Rs 7400

b) Rs4700

c) Rs 740

d) Rs 470

Answer:-

• The Total cost of fencing is ₹740.

Solution:-

• Area of rectangle = 340 m²
• Breadth = 17 m

$\mathfrak{ \large{ \pink{ \underline{ \underline{ \purple{area = l \times b}}}}}}$

$\large{ \tt : \implies \: \: \: \: l \times 17 = 340}$

$\large{ \tt : \implies \: \: \: \: l = \frac{340}{17} }$

$\large{ \tt : \implies \: \: \: \: l = 20 \: m}$

• The length of Rectangle is 20 m

$\mathfrak{ \large{ \pink{ \underline{ \underline{ \green{perimeter = 2(l + b)}}}}}}$

$\large{ \tt : \implies \: \: \: \: \: perimeter = 2(20 + 17)}$

$\large{ \tt : \implies \: \: \: \: \: perimeter = 2 \times 37}$

$\large{ \tt : \implies \: \: \: \: \: perimeter = 74 \: m}$

• Cost (per m) = ₹10

$\large{ \tt : \implies \: \: \: total \: cost = ₹(74 \times 10)}$

$\large{ \tt : \implies \: \: \: total \: cost = ₹740}$

• The Total cost of fencing is ₹740.

The correct option is (c)

Answer 2

Given

• Area of a rectangle = 340m²
• Breadth of the rectangle = 17m

⠀

To find

• Cost surrounding the plot with fence at Rs10.

⠀

Solution

• Firstly, we need to find the length of the rectangle.
• Let the length of the rectangle be l.

⠀

$\: \: \: \: \: \: \: \: \boxed{\tt{\bigstar{Area\: of\: rectangle = l \times b{\bigstar}}}}$

⠀

$\tt\longmapsto{l \times b = 340}$

$\tt\longmapsto{l \times 17 = 340}$

$\tt\longmapsto{l = \dfrac{340}{17}}$

$\tt\longmapsto{l = 20}$

⠀

$\: \: \: \boxed{\tt{\bigstar{Perimeter\: of\: rectangle = 2(l + b){\bigstar}}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 2(20 + 17)}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 2 \times 37}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Perimeter = 74}$

⠀

$\: \: \: \: \boxed{\tt{\bigstar{Cost = Perimeter \times Rate\: of\: fencing{\bigstar}}}}$

⠀

$\tt:\implies{Cost = Rs(74 \times 10)}$

$\tt:\implies{Cost = Rs.740}$

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