Question

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.
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Answer 1

Step-by-step explanation:

Acc.To.Q

Area of Square = Area of rectangle

Side x side = L x B

60 x 60 = 90 x B

3600 = 90 x B

3600/90 = B

40 = B

. Breadth => 40cm:)

Answer 2

Given

• Area of square = Area of rectangle
• Side of the square is 60m.
• Length of the rectangle is 90m.

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To find

• Breadth of the rectangle.

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Formula used

$\large{\boxed{\boxed{\sf{Area_{(Square)} = (Side)^2}}}}$

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$\large{\boxed{\boxed{\sf{Area_{(Rectangle)} = Length \times Breadth}}}}$

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Solution

• Let the breadth of the rectangle be b.
• We need to find the area of the square field first.

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$\: \: \: \: \: \: \: \: \: \sf\underline{Finding\: Area\: of\: square}$

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$\tt\longmapsto{Area_{(Square)} = (60)^2}$

$\tt\longmapsto{Area_{(Square)} = 3600}$

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$\: \: \: \: \: \: \: \sf\underline{We\: know\: that}$

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$\tt\longrightarrow{}$ Area of Square = Area of Rectangle

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$\tt\longrightarrow{3600 = Length \times Breadth}$

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$\tt\longrightarrow{3600 = 90 \times b}$

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$\tt\longrightarrow{90b = 3600}$

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$\tt\longrightarrow{b = \dfrac{3600}{90}}$

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$\bf\longrightarrow{b = 40}$

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Hence,

• The breadth of the rectangular field is 40m.

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