Question

four square flower beds each of side 1m are dug on a piece of land 6m long and 4m wide. what is the area of remaining part of land

urgent plz give ans ​

Answer 1

$\Large {\underline { \sf {Answer :}}}$

20 m²

$\Large {\underline { \sf {Clarification :}}}$

Here, we are given that four square flower beds each of side 1m are dug on a piece of land 6m long and 4m wide. We are asked to calculate the area of the remaining land.

Required Steps :

• Step 1 : We'll firstly find the area of the land by using the formula to calculate the area of the rectangle.

• Step 2 : Then, we'll find the area of the 4 square beds by using the formula to calculate the area of the square.

• Step 3 : After that, we'll find the difference of area of the land and area of the four square beds. The difference will be the area of the remaining part.

$\Large {\underline { \sf {Explication \; of \; steps :}}}$

Here, as per the provided information in the given question, we have :

• Four square beds each of side 1 m are dug on a piece of land.
• Dimensions of the land are 6 m and 4 m.

We are asked to calculate the area of the remaining part of the land.

Clearly,

⇒ Area of remaining part = Area of the land – Area of the four square beds

★ Calculating area of the land :

Since length and width of the rectangle are not same, so it is in the rectangle shape.

⇒ Area of rectangle = Length × Width

⇒ Area of the land = Length × Width

⇒ Area of the land = 6 m × 4 m

⇒ Area of the land = 24 m²

$\therefore$ Area of the land is 24 m².

★ Calculating area of four square flower beds :

Since, flower beds are in the shape of square, so we need to apply the area of the square's formula.

⇒ Area of 4 square flower beds = Area of 1 square flower bed × 4

⇒ Area of 1 square flower bed = Side × Side

⇒ Area of 1 square flower bed = 1 m × 1 m

⇒ Area of 1 square flower bed = 1 m²

So,

⇒ Area of 4 square flower beds = (1 × 4) m²

⇒ Area of 4 square flower beds = 4 m²

$\therefore$ Area of the four square flower beds is 4 m².

★ Calculating area of the remaining part :

⇒ Area of remaining part = Area of the land – Area of the four square beds

⇒ Area of remaining part = (24 - 4) m²

$\longrightarrow \underline {\boxed{\sf { Area_{(Remaining \; part)} = 20 \; m^2 }}} \; \bigstar$

$\therefore$ Area of the remaining part is 20 m².