Question

if the area of rectangular park is same as that of a square park the area of a rectangular Park is same as the square park. I if the dimensions of the rectangular park are 200m by 32m ,then find the side of square park ​

Answer 1

Answer:

Dimensions of rectangular park,

length=200m

breadth=32m

Area=l×b

=200×32

=6400 m²

given, area of rectangle= area of square

6400=l²

l=√6400

l=80m

side of square is 80 m.

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Answer 2

Answer:

• The measure of side of the square park is 80m

Step-by-step Explanation :

Given:

• the area of rectangular park is same as that of a square park
• The dimensions of the rectangular park are 200m by 32m

To Find:

• The dimensions of the square park

Formulas Used:

• Area of a rectangle = Length × Breadth
• Area of a square = Side × Side or ( Side ² )

Full Solution:

✰ Now let's find the area of the rectangular park,

$\longrightarrow \sf Area \; of \; the \; rectangular \; park = L \times B$

$\longrightarrow \sf Area \; of \; the \; rectangular \; park = 200 \times 32$

$\longrightarrow \sf Area \; of \; the \; rectangular \; park = 6400$

∴ The area of both the parks is 6400m²

✰ Now let's find the Side of the square park ,

$\longrightarrow \sf Area \; of \; square \; park = Side \times Side$

$\longrightarrow \sf 6400 = Side^2$

$\longrightarrow \sf Side= \sqrt{6400}$

$\longrightarrow \sf {\underline{\boxed{\bf{Side = 80}}}}$

∴ The measure Side of the square park is 80m

Therefore :

• The measure of side of the square park is 80m

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