Question

3. The perimeter of a square is 248 m. Find the area of the square.
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Answer 1

Answer:

Perimeter of square= 4× side

248m = 4× side

248/4= side

62m = side

Area of square= side × side

= 62× 62

= 3844 m sq.

Answer 2

Given:

• The perimeter of a square is 248m.

To Find:

• The area of the square field.

Concept Used:

• We will use formula of perimeter of square to find out the measure of side length.
• Then we will use the formula to find out the area of a square.

Answer:

Here its given that perimeter of the square is 248m.

Some points to be remembered here,

• All sides of square are equal.
• Each angle is 90°.

Let each side of the square be x.

Then ,its perimeter

$\large{\underline{\boxed{\red{\sf{\hookrightarrow Perimeter_{square}=4\times(side)}}}}}$

$\sf{\implies 4\times x=248m}$

$\sf{\implies 4x=248m}$

$\sf{\implies x=\dfrac{248m}{4}}$

${\underline{\boxed{\red{\sf{\leadsto x=62m}}}}}$

Hence measure of each side is 62m.

$\rule{200}3$

Now , area of square is given by ;

$\large{\underline{\boxed{\red{\sf{\hookrightarrow Area_{square}=(side)^{2}}}}}}$

$\sf{\implies Area=(62m)^{2}}$

${\underline{\boxed{\red{\sf{\leadsto Area=3844m^{2} }}}}}$

Hence the area of the square field is 3844m².