Question

1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
a)60 m b) 80 m


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Answer 1

Answer:

Area of Square is greater than Area of Rectangle by 400 cm²

Step-by-step explanation:

Area of Square = Side × Side = 60 × 60 = 3600 cm²

Perimeter of Square = Side × 4 = 60 × 4 = 240 cm

Perimeter of Square = Perimeter of Rectangle

So, Perimeter of Rectangle = 240 cm

Length of Rectangle =

240 = 2 × (L + B)

$\frac{240}{2}$    =  L + 80

120 - 80 = L

L = 40 cm

So, Area of Rectangle = L × B = 40 × 80 = 3200 cm².

Area of Square is greater than Area of Rectangle by 400 cm².

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