Question

the area of a rectangular plot is 391 square and it's breadth 17 m find the length of the plot and the cost of fencing at the rate of rupees 11.50 per metre​

Answer 1

The cost of fencing will be Rs 920

Answer 2

$\huge{\blue{\boxed{\boxed{\red{\underline{\green{\mathscr{Answer:}}}}}}}}$

The length of the rectangular plot is 23 cm. The cost of fencing the plot is Rs. 920.

Step-by-step explanation:

Given :-

• Breadth of the rectangular plot = 17 m
• Area of the rectangular plot = 391 m²
• Cost of fencing per meter = Rs. 11.50

To Find :-

• Length of the of rectangular plot
• Cost of fencing the of rectangular plot

Solution :-

Let l meter be the length of the rectangular plot,

Area of a rectangle = length × breadth

➠ 391 m² = l × 17 m

⇒ l = $\frac{391m^2}{17m}$

⇒ l = 23 m

★  ${\purple{\boxed{\mathsf{Length \ of \ the \ rectangular \ plot = 23 \ m}}}}$ ★

Now,

For finding the Cost of fencing the rectangular plot :

We need to find the perimeter for it,

Perimeter of a rectangle = 2 (length + breadth)

➠ 2 (23 m + 17 m)

⇒ 2 × 40 m

⇒ 80 m

★ ${\mathsf{Perimeter \ of \ the \ rectangular \ plot = 80 m}}$ ★

Cost of fencing the rectangular plot = Perimeter of the rectangular plot × Cost of fencing per meter

➠ Rs. (80 m × 11.50)

⇒ Rs. 920

★ ${\purple{\boxed{\mathsf{Cost \ of \ fencing \ the \ rectangular \ plot = Rs. \ 920}}}}$ ★

     ✨Hence, Length of the rectangular plot = 23 m and Cost of fencing the rectangular plot = Rs. 920.✨