37. Perimeter of a rectangle is x and circumference of acircle is 8 mo

1.	37. Perimeter of a rectangle is x and circumference of acircle is 8 more than the perimeter of the rectangle.Ratio of radius of circle and length of the rectangle is1:2 and ratio of length and breadth of rectangle is 7:3.Find the length of the rectangle ?(1) 14(2) 21431 28(4) 35(5) 7
Answer» 28 Perimeter of Reactangle = xCircumference of circle = x + 8 Let length of Reactangle = lLet breadth of Reactangle = bRadius of circle = r Then,l:r = 1:2So radius = y, length = 2y l:b = 7:3So length = 7m, breadth = 3m Here, length of Reactangle 7m = 2yy = 7m/2 Perimeter of Reactangle= 2(length + breadth)= 2(7m + 3m) = 20m Circumference of circle= 2pir 20m + 8 = 222/7y 20m + 8 = 44/7 * 7m/220m + 8 = 22m2m = 8m = 8/2 = 4 Therefore, length of Reactangle = 7m = 7*4"= 28

37. Perimeter of a rectangle is x and circumference of acircle is 8 more than the perimeter of the rectangle.Ratio of radius of circle and length of the rectangle is1:2 and ratio of length and breadth of rectangle is 7:3.Find the length of the rectangle ?(1) 14(2) 21431 28(4) 35(5) 7

Answer»

Perimeter of Reactangle = xCircumference of circle = x + 8

Let length of Reactangle = lLet breadth of Reactangle = bRadius of circle = r

Then,l:r = 1:2So radius = y, length = 2y

l:b = 7:3So length = 7m, breadth = 3m

Here, length of Reactangle 7m = 2yy = 7m/2

Perimeter of Reactangle= 2(length + breadth)= 2(7m + 3m) = 20m

Circumference of circle= 2*pi*r 20m + 8 = 2*22/7*y 20m + 8 = 44/7 * 7m/220m + 8 = 22m2m = 8m = 8/2 = 4

Therefore, length of Reactangle = 7m = 7*4"= 28