Question

a square plot of 15m covered with grass leaving 3m all around. find the area to be laid with grass.​

Answer 1

Answer:

81 m^2

Step-by-step explanation:

If each side is reduced by 3 mts then the length in total will be decreased by 6 mts (from both sides)

even the breadth will be decreased by 6 mts

So now, lenght= 15-6= 9mts

         and breadth= 15-6= 9mts

So, area= lxb

            =9mts x 9mts =  81 m^2

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Answer 2

Answer :

Given

• The square plot of side 15 cm.
• It is covered with grass leaving 3m all around.

Find

• The area to be laid with grass.

$\huge{\underline{\mathfrak{Solution :- }}}$

★ How to solve -

• Firstly , we will find the area of the whole square plot and then will find the area of the portion without Grass.
• And at last we will subtract both the areas to find the area of plot with grass.

We know that,

• Formula for area of Square

$\large{\underline{\boxed{\sf{ Area\; of\; Square = Side × Side }}}}$

» Putting values in formula :

= ${\sf{ Area\; of\; Square = Side × Side }}$

= ${\sf{ Area\; of\; Square = 15 × 15 }}$

= ${\sf{ Area\; of\; Square = 225 }}$ cm²

•°• The area of the whole plot = 225 cm²

Now,

• We will find the area of the portion without Grass.

» Putting values in formula :

= ${\sf{ Area\; of\; Square = Side × Side }}$

= ${\sf{ Area\; of\; Square = 3 × 3 }}$

= ${\sf{ Area\; of\; Square = 9 }}$ cm²

•°• The area of the plot without grass is 9 cm²

Atlast,

• We will find the area of the plot to be laid with grass.

♦ Whole Area - Area without grass

= 225cm² - 9cm²

= 216 cm²

So, the area of the portion without Grass is 216 cm² respectively.

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