Question

In a garden, roses are planted in squares plot and marigolds are planted in rectangulars plots. The length of the rectangular plot in which marigolds are planted is 2 times the length of the square plot in which roses are planted, and the breadth of the rectangular plot is 3 meters greater than the square plot. If the perimeter of the square plot of roses is 64 meters then, how much bigger is the perimeter of marigold plot than the rose plot?

• A. 35 metres
• B. 38 metres
• C. 34 metres
• D. 36 metres

Answer 1

The correct option is B 38 metres

Let the length of the side of the rose plot = x metres,
the length of the marigold plot = 2x metres,
the breadth of the marigold plot = (x + 3) metres,

Perimeter of the rose plot = 4x metres,
Perimeter of the marigold plot = 2[(x + 6) + (x + 3)] metres,
Perimeter of the square plot of rose plot,
$4x=64,$
$x=16\text{metres.}$
The difference between perimeters of marigold plots and rose plots is
= 2[2x + (x + 3)] - 4x
= 2(3x + 3) - 4x
= 6x + 6 - 4x = (2x + 6) metres
= 2(16) + 6 = 32 + 6 = 38 metres.