A rectangular plot has 17 m length and 14 m width. What will be the cost of fencing at a rate of Rs. 25 per metre?
Answers
Answer:
1550₹
Step-by-step explanation:
GIVEN
LENGTH OF THE RECTANGULAR PLOT = 17M
BREADTH OF THE RECTANGULAR PLOT = 14M
PERIMETER = 2( L + B )
2(17 + 14)
2 *31 = 62M
COST = 62 *25 = 1550₹
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Question:
A rectangular plot has 17 m length and 14 m width. What will be the cost of fencing at a rate of Rs. 25 per metre?
Answer:
Cost of fencing at a rate of Rs. 25 per metre is Rs. 1550.
Explanation:
Given that:
Length of plot (L) = 17 m
Width of plot (W) = 14 m
To Find:
Cost of fencing at a rate of Rs. 25 per metre?
Solution:
Firstly let's find perimeter of rectangular plot ::
We know that,
⧪ \boxed{{\textsf{\textbf{\purple{Perimeter}}}}_{{\textsf{\textbf{\purple{(rectangle)}}}}} {\textsf{\textbf{\purple{\:= 2(L + W)}}}}}
Perimeter
(rectangle)
= 2(L + W)
⧪
Where,
L denotes length
W denotes width
According to the question by using the formula we get,
➼ \sf Perimeter_{(plot)} = 2(17 + 14)Perimeter
(plot)
=2(17+14)
➼ \sf Perimeter_{(plot)} = 2\:\times\:31Perimeter
(plot)
=2×31
➼ {\textsf{\textbf{\pink{Perimeter}}}}_{{\textsf{\textbf{\pink{(plot)}}}}} {\textsf{\textbf{\pink{\:= 62\:m}}}}Perimeter
(plot)
= 62m
∴ Hence, perimeter of rectangular plot is 62 meters.
Now, finding cost of fencing ::
We know that,
⧪ \boxed{{\textsf{\textbf{\green{Cost}}}}_{{\textsf{\textbf{\green{(fencing)}}}}} {\textsf{\textbf{\green{\:= Rate}}}} \green{\:\times\:}{\textsf{\textbf{\green{Perimeter}}}}}
Cost
(fencing)
= Rate×Perimeter
⧪
Putting all values we get,
➻ \sf Cost_{(fencing)} = 25 \:\times\: 62Cost
(fencing)
=25×62
➻ {\textsf{\textbf{\red{Cost}}}}_{{\textsf{\textbf{\red{(fencing)}}}}} {\textsf{\textbf{\red{\:= Rs.\:1550}}}}Cost
(fencing)
= Rs.1550
∴ Hence, cost of fencing at a rate of Rs. 25 per metre is Rs. 1550.
Know More:
Perimeter of square = 4 × side
Perimeter of rectangle = 2(L + W)
Perimeter of circle = 2πr
Perimeter of equilateral ∆ = 3 × side
Perimeter of any figure is calculated by sum of it's all sides.