In a garden, roses and marigolds are planted in a square plot. The length of the square plot in which roses are planted is 2 metres greater than the length of the square plot in which marigolds are planted. How much bigger in area ia the rose plot than marigold plot?
Answers
Answered by
10
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 WILL HELP YOU….
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 WILL HELP YOU….
Answered by
3
The answer for this question is rose plot is bigger in area than marigold by 2(x+2). Please mark as brilliant.
Similar questions