Question

Diksha complete one round of a square filed whose one side is 500 m.how far did she run?​

Answer 1

Answer:

2km

4a = 4*500=2000m=2km

Answer 2

Answer:

Let the width of the gravel path be x metres. Then, Each side of the square flower bed is (44−2x) metres

Now, Area of the square field 44×44=1936m

2

Area of the flower bed =(44−2x)

2

m

2

Area of the gravel path= Area of the field - Area of the flower bed

=1936−(44−2x)

2

=1936−(1936−176x+4x

2

)=(176−4x

2

)m

2

Cost of laying the flower bed=Area of the flower bed × Rate per sq.m

=(44−2x)

2

×

100

275

=

4

11

(44−2x)

2

=11(22−x)

2

Cost of gravelling the path = Area of the path × Rate per sq. m

=(176x−4x

2

)

100

150

=6(44−x

2

)

It is given that the total cost of laying the flower bed and gravelling the path is Rs. 4904

∴11(22−x)

2

+6(44x−x

2

)=4904

⇒5x

2

−220x+5324=4908

⇒5x

2

−220x+420=0⇒x

2

−44x+84=0⇒x

2

−42x−2x+84=0

⇒(x−2)(x−42)=0⇒x=2orx=42

But x



=42 as the side of the square is 44m. therefore, x=2

Hence the width of the gravel path is 2 metres

Step-by-step explanation:

hope this answer is helpful