Math, asked by pratapchau8390, 1 day ago

find the area of a square park whose perimeter is 320m​

Answers

Answered by shirsendk2007
2

Answer:

we know that

perimeter of rectangle is 4×side

Let the side of the square be a m.

A/Q

4a=320

=)a=320/4

=)a=80

So, now we know the measure of the squares side= 80 m

Area of the square = side × side

= (80×80) m^2

= 6400 m^2

Step-by-step explanation:

Hope you get your answer

Answered by Anonymous
42

Answer:

Given :-

  • A square park whose perimeter is 320 m.

To Find :-

  • What is the area of a square park.

Formula Used :-

\clubsuit Perimeter of Square Formula :

\mapsto \sf\boxed{\bold{\pink{Perimeter_{(Square)} =\: 4 \times Side}}}\\

\clubsuit Area of Square Formula :

\mapsto \sf\boxed{\bold{\pink{Area_{(Square)} =\: (Side)^2}}}\\

Solution :-

First, we have to find the side of square park :

Given :

  • Perimeter of a square park = 320 m

According to the question by using the formula we get,

\implies \sf 4 \times Side =\: 320

\implies \sf Side =\: \dfrac{\cancel{320}}{\cancel{4}}

\implies \sf Side =\: \dfrac{80}{1}

\implies \sf\bold{\purple{Side =\: 80\: m}}

Hence, the side of a square park is 80 m .

Now, we have to find the area of a square park :

Given :

  • Side = 80 m

According to the question by using the formula we get,

\longrightarrow \sf Area_{(Square\: Park)} =\: (80)^2

\longrightarrow \sf Area_{(Square\: Park)} =\: 80 \times 80

\longrightarrow \sf\bold{\red{Area_{(Square\: Park)} =\: 6400\: m^2}}

{\small{\bold{\underline{\therefore\: The\: area\: of\: square\: park\: is\: 6400\: m^2\: .}}}}\\

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