Question

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$\huge{ \textsf{\colorbox{magenta}{Question}}}$

The perimeter of a square is 144cm. Find its side and area.

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(♡Step by step explanation required
(♡No silly answers!
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Answer 1

Given :

• Perimeter of the Square = 144 cm
• Side = ??
• Area = ??

To Find :

• Side of the Square?
• Area of the Square?

Formula To Be used:

We will the formula of the perimeter of Square:

• Perimeter = 4×side

We will use the Formula of Area of square :

• Area = side²

Concept:

Firstly, using the Perimeter formula of the Square, we will reconstruct it as :

• Side = Perimeter/4

So, we can easily find the side using this formula.

Now, we have the side, so we can use the formula of area of Square to find area

Solution:

Given, Perimeter of Square = 144 cm

Now, using the formula of perimeter, we will find the Side :

$\displaystyle \rm \implies s= \frac{p}{4}$

$\displaystyle \rm \implies s= \frac{144}{4}$

$\implies \displaystyle \rm s = \frac{ \cancel{144}}{ \cancel{4}}$

$\red{ \underline{ \boxed{\displaystyle \rm \implies side = 36cm}}}$

So, the side of Square = 36 cm

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Now, Side = 36 cm ,

So, using the formula of Area, we can find the Area of Square:

$\implies \displaystyle \rm area = side \times side$

$\implies \displaystyle \rm a = 36 \times 36$

$\blue{ \underline{ \boxed{ \implies \displaystyle \rm area = 1296 \: {cm}^{2} }}}$

So, area of the Square = 1296 cm²

Final Answer :

We got that :

• Side of the Square = 36 cm
• Area of the Square = 1296 cm²

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Additional Information:

Some formulae related to mensuration :

• Area of Square = Side²

• Perimeter of square = 4side

• Volume of cube = side³

• TSA of cube = 6side²

• Area of rectangle = Lenght × breadth

• Perimeter of rectangle = 2(l+b)

• Volume of cuboid = l×b×h

• TSA of cuboid = 2(lb+lh+bh)

• Area of triangle (Common) = ½×Hieght×base

• Perimeter of triangle = a+b+c

Answer 2

hope it helps you bhaiya!!!