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?​

Answer 1

Answer:

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

Answer 2

Answer:

Step-by-step explanation:

Perimeter of a square of side 'x' units = 4x

perimeter of a rectangle of length 'x' units and breadth 'y' units = 2x+2y

4x=2x+2y

4x-2x=2y

2x=2y

x=y

Area of square =$x^{2}$

Area of rectangle with both length x units and breadth (y=x) units =

length * breadth = x*x = $x^{2}$

Both of them have equal area