Question

On a rectangular plot of length 7m and breadth 6m, a square garden of side 3m is made. Find the area of remaining plot.​

Answer 1

Given :

• Length = 7 m
• Breadth = 6 m
• Side of a square garden = 3 m

To find :

• Area of remaining plot

According to the question,

We know,

• Area of rectangle = l × b

Where,

• l = Length
• b = Breadth

⇒ Area of rectangle = l × b

⇒ Area of rectangle = 7 m × 6 m

⇒ Area of rectangle = 42 m²

• So, the area of rectangle is 42 m².

We know,

• Area of square = (side)²

⇒ Area of square = (side)²

⇒ Area of square = (3 m)²

⇒ Area of square = 9 m²

• So, the area of square is 9 m².

So,

⇒ Area of remaining plot = Area of rectangle - Area of square

⇒ Area of remaining plot = 42 m² - 9 m²

⇒ Area of remaining plot = 33 m²

• So, the area of remaining plot is 33 m².

_________________________

Answer 2

${\large{\rm{\underline{Let's \: understand \: the \: question \: 1^{st}}}}}$

◉ This question says that on a rectangular plot of length and breadth, 7 m and 6 m respectively ; there is a square garden of 3m as its side is made in that plot. We have to find the remaining area of the plot.

${\large{\rm{\underline{Given \; that}}}}$

⚔ Length of rectangular plot = 7 m

⚔ Breadth of rectangular plot = 6 m

⚔ Side of square garden = 3 m

${\large{\rm{\underline{To \; find}}}}$

⚔ Remaining area of the plot

${\large{\rm{\underline{Solution}}}}$

⚔ Remaining area of plot = 33 m²

${\large{\rm{\underline{Using \: concept}}}}$

⚔ Area of rectangle formula

${\large{\rm{\underline{Using \: formula}}}}$

⚔ Area of rectangle = Length × Breadth

⚔ Area of square = Side × Side

${\large{\rm{\underline{Full \; Solution}}}}$

☑ Firstly, let us find the area of rectangular plot.

⇢ Length of rectangular plot = 7 m

⇢ Breadth of rectangular plot = 6 m

⇢ Area of rectangular plot = L × B

⇢ Area of rectangular plot = 7 × 6

⇢ Area of rectangular plot = 42 m²

${\pink{\frak{Henceforth, \: area \: of \: rectangular \: plot \: is \: 42 \: m^{2}}}}$

☑ Now, let us find the area of square garden.

⇢ Side of square garden = 3 m

⇢ Area of square garden = Side × Side

⇢ Area of square garden = 3 × 3

⇢ Area of square garden = 9 m²

${\pink{\frak{Henceforth, \: area \: of \: square \: garden \: is \: 9 \: m^{2}}}}$

☑ Now let's find the area of remaining plot.

⇢ Area of remaining plot = Area of rectangular plot - Area of square garden

⇢ Area of remaining plot = 42 m² - 9 m²

⇢ Area of remaining plot = 33 m²

${\pink{\frak{Henceforth, \: area \: of \: remaining \: plot \: is \:33 \: m^{2}}}}$