Question

Area of a rectangular park is 100 square meter. Length of the park is 15 meter

more than the breadth. If someone wants to fence along the sides of the park and

cost of fencing one meter is Rs. 5, then find the total cost of fencing all sides of the

park.​

Answer 1

Answer:

500

Step-by-step explanation:

l=b+15

area =l*b

100=b+15)*b

100=b^2+15b

b^2+15b-100=0

b=-15+-√225+400/2

b=-15+-25/2

b=10/2=5 other neglected as its negative

hence l=20m

hence area =20*5=100m^2

hence cost of fencing =100*5=500rupees

Answer 2

Let the breadth be x

then,

length be (x+15) meters

According to the Question

area of rectangle = 100 m²

(x)(x+15)=100

x²+15x=100

x²+15x-100=0

x²+20x-5x-100=0

x(x+20)-5(x+20)=0

(x+20)(x-5)=0

x+20=0 x-5=0

x= -20 or x =5

x=5 ( since measurement can not be negative)

breadth = 5m

length = x +15m = 20m

Now,

perimeter of the rectangle = l+b

= 25m

Cost of fencing at Rs. 5 per meter=25 ×5

= Rs. 125

Hope get help from this.