Question

The area of square park is same as the area of rectangle park. If the area of square park is 3600 m² and the length of rectangular park is 90m , find the breadth of rectangular park.
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Answer 1

Area of Square Park = Area of Rectangular Park

Area of Square Park = $3600$ m²

⇒ Area of Rectangular Park = $3600$ m²

We know,

Area of rectangle = $l \ · \ b$

Length = $90$ m

∴ $90 \times b = 3600$

⇒ $b = \dfrac{3600}{90} = 40$ m

∴ Breadth of the rectangular piece of park is $40$ m.

Answer 2

Area of square park, $\sf A_s$ = 3600 m²

Length of rectangular park, $\sf l_r$ = 90 m

Breadth of rectangular park, $\sf b_r$ = ?

So, Area of square park = Area of rectangular park

• $\sf A_s$ = $\sf A_r$

• πr² = $\sf l_r$ × $\sf b_r$

• 3600 = 90 × $\sf b_r$

• $\sf b_r$ = $\dfrac{3600}{90}$

• $\sf b_r$ = 40 m

Therefore, breath of rectangular park is 40 m.

$\bold{Hope\;it \; helps\;!}$