Question

8. The perimeter of a square field is 48 m find its
area​

Answer 1

Answer:

We are given that the perimeter of a square is 48 m. We know that the formula of the perimeter of the square is 4a, where a is the side of a square. Thus, the area of the square is 144 square m.

Answer 2

Given :

• The perimeter of the square field is 48m

To find :

• The area and the side of the square

Solution :

★ Concept :

Here the concept of Area and Perimeter is given, In the question it has given the perimeter of the square and to find the area we have to first find the side of the square field also to find the area

${ \underline{ \underline{ \green{ \mathfrak{As \: we \: know \: that}}}}}$

$\;\boxed{\sf{\pink{Area_{\:(square)} = Side \times Side}}}$

$\;\boxed{\sf{\purple{Perimeter_{\:(square)} = 4 \times Side}}}$

$\;\boxed{\sf{\orange{Side_{\:(square)} = 4 \div Perimeter}}}$

First we will find the side of the square field

$: \implies$ Perimeter $\leadsto$ $\sf 48_{\:(m)}$

$: \implies$ $\sf 48_{\:(m)}$ $\div$ 4

$: \implies$ ${\underline{\boxed{\pink{\mathfrak{ 12_{\:(m)}}}}}}$

Now, we will find the Area of the square field

$: \implies$ Side of square $\leadsto$ $\sf 12_{\:(m)}$

$: \implies$ $\sf 12_{\:(m)}$ $\times$ $\sf 12_{\:(m)}$

$: \implies$ ${\underline{\boxed{\pink{\mathfrak{144 \ {m}^{2}}}}}}$

•°• Hence, verified! that the area of the square field is $\sf 144 {m}^{2}$

Diagram :

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 12\ m}\put(4.4,2){\bf\large 12\ m}\end{picture}$

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