Question

a square and rectangle field with breadth as 60 m and 80 m respectively have same perimeter, which feild have a large area?​

Answer 1

Given:-

• Breadth of square and rectangular field.
• Perimeter

To find:-

Area of the larger field.

Solution:-

Let the breadth of the rectangle be x

Perimeter of rectangle= Perimeter of square

2(80+x)=4×60

80+x=120

x=120-80

x=40

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⟼ So the breadth of rectangle is 40m

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⟼ Area of square= (60×60)m²

3600m²

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⟼ Breadth of rectangle= (40×80) m²

3200 m²

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Hence we concluded that square field has larger area.

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Answer 2

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♧Question♧

• a square and rectangle field with breadth as 60 m and 80 m respectively have same perimeter, which feild have a large area?

♧Answer♧

Given data:-

• Side of square = 60m
• Length of rectangle = 80m
• Same perimeter.

To find:-

• Larger area = ?

Solution:-

• According to the question

Perimeter of rectangle = Perimeter of square

• ⇒2( l + b ) = 4a
• ⇒2 ( 80 + b ) = 4 (60)
• ⇒160 + 2b = 240
• ⇒2b = 240 - 160
• ⇒2b = 80
• ⇒b = 80/2
• ⇒b = 40m

So the Breathe of the rectangle is 40m.

Now,

☆Area of square = side × side

• ⇒A = 60 × 60
• ⇒A = 3600m²

☆Area of rectangle = l × b

• ⇒A = 80 × 40
• ⇒A = 3200m²

☆Therefore the square has larger area that the rectangle.

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