A) \[(5x+8y+10){{m}^{2}}\]
B) \[(3x+5y-15){{m}^{2}}\]
C) \[(3x+5y+15){{m}^{2}}\]
D) \[(xy+3y+5y+15){{m}^{2}}\]
Correct Answer: C
Solution :
We have, Length of Ameesha's kitchen garden\[=\text{ }x\text{ }m\] Breadth of Ameesha's kitchen garden\[=\text{ }y\text{ }m\] \[\therefore \]Area of Ameesha's kitchen garden\[=xy\text{ }{{m}^{2}}\] Length of Prachi's kitchen garden\[=(x+5)m\] Breadth of Prachi's kitchen garden\[(y+3)m\] \[\therefore \] Area of Prachi's kitchen garden \[=(x+5)(y+3)=(xy+3x+5y+15)\text{ }{{m}^{2}}\] Difference between area of Ameesha's kitchen garden and Prachi's kitchen garden \[=xy+3x+5y+15-xy=(3x+5y+15){{m}^{2}}\]
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