Question

EXERCISE 11.1
an
Nam
1. A square and a rectangular field has the same perimeters. The dimensions of rectangular field are
120 m x 90 m. Find out which field has the greater area.

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Answer 1

Answer:

Square field has the greater area.

Step-by-step explanation:

Given :

• A square and a rectangular field has the same perimeters

• The dimensions of rectangular field are  120 m x 90 m

To find :

• which field has the greater area

Solution :

⇒ The dimensions of rectangular field are  120 m x 90 m.

 Length = 120 m

 Breadth = 90 m

Let "a" m be the side of the square field

⇒ Perimeter of rectangular field = Perimeter of square field

    2(length + breadth) = 4a

    2(120 + 90) = 4a

    2(210) = 4a

     420 = 4a

     a = 420/4

     a = 105 m

∴ Side of the square field = 105 m

Area of rectangular field,

     = length × breadth

     = 120 m × 90 m

     = 10800 m²

Area of square field,

     = side × side

     = 105 m × 105 m

     = 11025 m²

11025 m² > 10800 m²

Therefore, Square field has the greater area.

Answer 2

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A square and a rectangular field has the same perimeters. The dimensions of rectangular field are120 m x 90 m. Find out which field has the greater area.

❇ Solution ⬇

⇒ The dimensions of rectangular field are  120 m x 90 m.

•  Length = 120 m
•  Breadth = 90 m

Let "a" m be the side of the square field

⇒ Perimeter of rectangular field = Perimeter of square field

   

2(length + breadth) = 4a

   

2(120 + 90) = 4a

   

2(210) = 4a

     

420 = 4a

     

a = 420/4

     

a = 105 m

∴ Side of the square field = 105 m

Area of rectangular field,

     = length × breadth

     = 120 m × 90 m

     = 10800 m²

Area of square field,

     = side × side

     = 105 m × 105 m

     = 11025 m²

11025 m² > 10800 m²

Therefore, Square field has the greater area.

Thank you.