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# The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.

Q. 5.     The area of a square park is the same as of a rectangular park. If the side of the square park is $60\; m$ and the length of the rectangular park is  $90\; m$, find the breadth of the rectangular park.

Views

It is given that the area of a square park is the same as of a rectangular park and side of the square park is $60\; m$ and the length of the rectangular park is $90\; m$

Now, we know that

Area of square $= a^2$

Area of rectangle $=l \times b$

Area of square = Area of rectangle

$a^2=l \times b$

$\Rightarrow 90\times b = (60)^2$

$\Rightarrow b = \frac{3600}{90} = 40 \ m$

Therefore, breadth of the rectangle is 40 m

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