Question

The length and the breadth of a rectangular plot are 135 m and 65 m. Find, its perimeter and the cost of fencing it at the rate of ₹60 per m.

Answer 1

$\frak{Given}\begin{cases}\sf{\:\;\; Length_{\:(rectangular\; plot)} = 135\;m}\\\sf{\;\;\; Breadth_{\;(rectangular\;plot)} = 65 \; m}\end{cases}$

To find: Its perimeter and the cost of fencing it at the rate of ₹60 per m.

⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀

⠀⠀⠀⠀⠀⠀

To calculate perimeter of the rectangle the formula is given by :

⠀

$\star\;\boxed{\sf{\pink{Perimeter_{\:(rectangle)} = 2(l + b)}}}$

⠀

• Here, l is the length of the rectangle and b is the Breadth of the rectangle.

⠀⠀

⠀⠀

$\underline{\bf{\dag} \:\mathfrak{Substituting\; values\: :}}$⠀⠀⠀⠀

⠀

$:\implies\sf Perimeter_{\:(rectangle)} = 2(Length + Breadth) \\\\\\:\implies\sf Perimeter_{\:(rectangle)} = 2(135 + 65) \\\\\\:\implies\sf Perimeter_{\:(rectangle)} = 2 \times 200 \\\\\\:\implies{\underline{\boxed{\frak{\pink{Perimeter_{\:(rectangle)} = 400\;m}}}}}\;\bigstar$

⠀

⠀⠀⠀

$\therefore{\underline{\sf{Hence,\; perimeter\; of \; rectangular\; plot \; is\; \bf{400\; m }.}}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀

❍ Now, finding the cost of fencing it a the rate of ₹ 60 per m.

⠀

$:\implies\sf 60 \times 400 \\\\\\:\implies{\underline{\boxed{\frak{\purple{24,000}}}}}\;\bigstar$

⠀

$\therefore{\underline{\sf{Hence, the \; cost \; of \: fencing \; it \; is\; \bf{ 24,000\; rs}.}}}$

Answer 2

Given:

Length of a rectangular plot is 135m.

Breadth of a rectangular plot is 65 m.

To Find:

It's perimeter.

Cost if fencing it at the rate of ₹60 per m.

Solution:

Perimeter of rectangular plot

= 2(Length+Breadth)

=> 2(135 + 65)

=> 2(200)

=> 400m

Now according to question :-

Cost of fencing 1m of rectangular plot = Rs. 60 /-

Cost of fencing 400m of rectangular plot

= 60 × 400 = Rs. 24000 /-

Hence, it is the required answer.