Question

A
and a rectangular field with measurements as given in the figure have the
same perimeter. Which field has a larger area and by how much?
square

30 m​

Answer 1

Step-by-step explanation:

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? Hence, area of square field is larger.

Answer 2

Step-by-step explanation:

Side of a square = 60 m (Given)

And the length of rectangular field, l = 80 m (Given)

According to question,

Perimeter of rectangular field = Perimeter of square field

2(l+b) = 4×Side (using formulas)

2(80+b) = 4×60

160+2b = 240

b = 40

Breadth of the rectangle is 40 m.

Now, Area of Square field

= (side)2

= (60)2 = 3600 m2

And Area of Rectangular field

= length×breadth = 80×40

= 3200 m2

Hence, area of square field is larger.