Question

Six square plots are connected end to end to obtain a rectangular plot of area 726 m2. If we taken by
what factor is the perimeter of this plot more than that of the circumference of a circle of radius 10m?

Answer 1

Step-by-step explanation:

bro u just have to find the perimeter of rectangle and circle

let widthside =x

length side=6x

area of rectangle

l×b

terefore

x × 6x=726

x=11

perimeter of rectangle

2(l+b)

2(x+6x)

2(11+6×11)

154

area of circle ⭕

2πr

2×3.14×10

62.8

Answer 2

Question :

Six square plots are connected end to end to obtain a rectangular plot of area 726 m^2. If we take π = 22/7, by what factor is the perimeter of this plot more than that of circumference of a circle of radius 10 m?

Answer :

Factor by which the perimeter of the rectangular plot is more than that of circumference of a circle is 2.45.

Given :

Area of rectangular plot = 726 m

π = 22/7

Radius of a circle = 10m

To find :

Factor by which the perimeter of the rectangular plot is more than that of circumference of a circle

Solution :

Area of Rectangle = 726m^2

Rectangle is composed of 6 square plots

Area of a square plot = 726/6 = 121 m^2

Side of the square plot = √121

= 11m

Now length of the rectangle will be 6 × 11 (since square plots are laid side by side) = 66 m

Perimeter of rectangle = 2(length + breadth)

2(11 + 66) = 154 m

Circumference of circle of radius 10 m = 2 π r = 2 × 22/7 × 10

= 440/7

= 62.85

By factor the perimeter of Rectangular plot is more than circular plot = Perimeter of rectangular plot / Circumference of circle

= 154/62.85

= 2.45

Hence, Factor by which the perimeter of the rectangular plot is more than that of circumference of a circle is 2.45.

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