Question

Five square flower beds each of sides 2 m are dug on a piece of land 8 m long and 4 m

wide. What is the area of the remaining part of the land?
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Answer 1

Question:

Five square flower beds each of sides 2 m are dug on a piece of land 8 m long and 4 m wide. What is the area of the remaining part of the land?

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Given :

• Side of square flower bed = 2m
• Length of the land = 8m
• Breadth of land = 4m

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To find:

• Area of remaining part of land.

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Let's understand :

• In this question firstly we need to find the area of land then the area of one square flower bed then multiple it by 5. Now, we have area of 5 flower beds. So, to find the area of remaining part of land we will subtract area of 5 flower beds from area of complete land.

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Solution:

Area of complete land :

$\boxed {\boxed {\underline {\rm Area \: of \: Land = length \times breadth }}}$

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$: \implies \rm {Area \: = 8 \times 4 }$

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$: \implies \rm { Area \: of \: complete \: land = 32m^2 }$

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Now, Area of 5 square flower beds :

$\boxed {\boxed {\underline{\rm Area \: of \: 5 \: squares = 5 \times (side) ^2 }}}$

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$: \implies \rm{Area = 5\times (2)^2}$

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$: \implies \rm{Area = 20m^2}$

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Area of remaining part of land = Area of complete land - Area of 5 square flower beds.

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$: \implies \rm {Area \: = 32 - 20 }$

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$: \implies \rm {\boxed {12m^2}}$

Answer 2

SOLUTION:

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ANSWER:

• Area of remaining part of land = 12m²

TO FIND:

• The area of the remaining part of the land?

GIVEN:

• Five square flower beds each of side = 2m
• Length of the land = 8m
• Breadth of the land = 4m.

SOLUTION:

Let the area of the remaining part of the land be x.

FORMULAE TO FIND:

FORMULAE 1 = Area = length × breadth

FORMULAE 2 = Area = 5 × ( side ) ²

SOLVING BY APPLYING THE FORMULA:

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Now,

Let's find area of the land.

APPLY THE FORMULA 1 :

=> Area = 8 × 4

• Multiply this.

=> Area = 32 m²

Now,

Let's find Area of 5 square flower beds.

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APPLY THE FORMULA 2 :

=> Area = 5 × (2)²

• Remove the brackets.

=> Area = 5 × 4

• Multiply this.

=> Area = 20m².

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Atlast,

• Area of remaining land = Area of complete land - Area of 5 flower bed.

=> Area = 32 - 20

• Subtract.

=> Area = 12m².

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