Question

In garden roses and marigold are planted in square plots. The length of the square plot in which roses are planted is 2metres greater than the length of the square plot in which marigolds are planted. How much bigger in area is the rose plot than the marigold plot

Answer 1

Let the length of the side of marigold plot = x m

length of the side of rose plot =( x+2) m

Area of square = side × side = side²

 

Area of marigold plot = x × x = x²

 

Area of rose plot =( x+2) ×( x+2)=( x+2)² = x² + 2² + 2 ×x ×2 = x² +4 +2x

 

[(a+b)² = a² +b²+2ab]

 

Difference in both the areas of square plots = x² +4 +2x - x² = 2x + 4 = 2(x+2) m

 

Rose plot is bigger in area than the marigold plot by 2(x+2) m.

 

Hence , the rose plot is 2(x+2) m bigger than marigold plot.

 

Hope This Helps :)