1) The sides of a rectangular park are in the ratio 4:3. If its area is 588m'. find out the cost of fencing the park at the rate of ₹5per meter
Answers
Answer:
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Answer:
ABCD is a rectangular park
Comsider AB and BC be the sides of the rectangle AB:BC = 4:3
∴ let AB=4x and BC=3x
Area of rectangle = l×b
4x x 3x = 1728
⇒12x
2
= 1728
⇒x
2
=
2
1728
⇒x
2
=144
⇒x=
144
= 12
Hence Length = 4x = 4 x12 = 48m
Breadth = 3x = 3 x 12 = 36m
∴ Perimeter of a rectangle = 2(l+b)
⇒2(48+36) = 2 x 84 = 168m
Cost of fencing = perimeter × Rate= 168 x 2.50
The total cost of fencing is Rs.420
Step-by-step explanation:
ABCD is a rectangular park
Comsider AB and BC be the sides of the rectangle AB:BC = 4:3
∴ let AB=4x and BC=3x
Area of rectangle = l×b
4x x 3x = 1728
⇒12x
2
= 1728
⇒x
2
=
2
1728
⇒x
2
=144
⇒x=
144
= 12
Hence Length = 4x = 4 x12 = 48m
Breadth = 3x = 3 x 12 = 36m
∴ Perimeter of a rectangle = 2(l+b)
⇒2(48+36) = 2 x 84 = 168m
Cost of fencing = perimeter × Rate= 168 x 2.50
The total cost of fencing is Rs.420