Question

The length and breadth of a rectanglar plot are 25cm and width 12cm respectively.In this a house is constructed whose base is a square of side 9m remaining area is garden Find area of garden​

Answer 1

Correct Question:-

The length and breadth of a rectanglar plot are 25 m and width 12 m respectively.In this a house is constructed whose base is a square of side 9 m remaining area is garden Find area of garden

Answer:-

$\red{\bigstar}$ Area of the garden $\large\leadsto\boxed{\tt\blue{219 \: m^2}}$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Given:-

• Length of rectangular plot = 25 m

• Width of rectangular plot = 12 m

• Base of square house = 9 m

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• To Find:-

• Area of the garden

• Solution:-

Given that,

The length an width of rectangular plot are 25 m and 12 m.

Therefore, the area of the rectangular plot will be

$\purple{\bigstar}$ $\large\underline{\boxed{\bf\green{Area= l \times b}}}$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf Area = 25 \times 12$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bf\pink{Area = 300 \: m^2}}$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Also,

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The side of the square house is 9m.

Therefore, the area of the house will be

$\purple{\bigstar}$ $\large\underline{\boxed{\bf\green{Area = (side)^2}}}$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf Area = (9)^2$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bf\pink{Area = 81 \: m^2}}$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Now,

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The area of the garden will be the leftover area from the rectangular plot and the square base house.

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

$\purple{\bigstar}$ Area of the garden = Area of rectangular plot - Area of square base house.

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf Area \: of \: garden = 300 - 81$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bf\pink{Area \: of \: garden = 219 \: m^2}}$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the area of the garden is 219 m².

Answer 2

Correct question-:

The length and breadth of a rectanglar plot are 25cm and width 12cm respectively.In this a house is constructed whose base is a square of side 9cm remaining area is garden Find area of garden

_____________________

AnswEr -:

________________________

☆ The area of garden -: 219 cm²

___________________________

Explanation-:

☆ Formula used in question............

☆ Area of Rectangle -:

"A = l x b"

☆ Area of Square -:

"A = s x s"

Here,

》 A = Area

》 l = length of Rectangle

》 b = breadth of rectangle

》 s = length of side of a square

_____________________________

Given,

》 Length of Rectangular plot -: 25 cm

》 Breadth of Rectangular plot -: 12 cm

》Length of side of Square-: 9 cm

To Find ,

》Area of Garden .

______________________________

Solution ,

☆ Area of garden =

Area of Rectangular plot - Area of square base

☆ Area of Rectangular plot -:

"A = l x b"

》 Length of Rectangular plot -: 25 cm = l

》 Breadth of Rectangular plot -: 12 cm = b

》 Area of Rectangular plot -: A = ??

Now ,

》 25 x 12

》 300

Therefore,

Area of Rectangular plot = 300 cm²

Now ,

Area of Square Base -:

"A = s x s"

》Length of side of Square-: 9 cm= S

》 Area of square base -:A = ??

Now ,

》 9 x 9

》81

Therefore,

Area of square base -: 81 cm²

☆ Area of garden =

》Area of Rectangular plot - Area of square base

Here,

》Area of Rectangular plot = 300 cm²

》Area of square base -: 81 cm²

Now ,

》 300 - 81

》219

Hence,

☆ The area of garden -: 219 cm²

_______________________________

Let's explore........

☆ Area of Rectangle -:

"A = l x b"

☆ Area of Square -:

"A = s x s"

☆ Perimeter of Rectangle-:

"P = 2( l + b )"

☆ Perimeter of Square-:

" P = 4 x s"

Here,

》 A = Area

》 l = length

》 b = breadth

》 s = length of side

》 P = Perimeter

_____________________________________