Question

The sides of a rectangular park are in the ratio 4: 3. If its area is 1728 m2, find :
(i) its perimeter
(ii) cost of fencing it at the rate of 40 per metre.

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Answer 1

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

Answer 2

Answer:

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