Question

A square having side of 60 m. and a rectangular field having length of 80 m.
have the same perimeter. Find the width of rectangular field and Which field has
a larger area?​

Answer 1

Answer:

40 m

Square

Step-by-step explanation: Let the width of the rectangle be 'b'.

Given, perimeter of square = perimeter of rectangle

⇒ 4side = 2(length + width)

⇒ 4(60) = 2(80 + b)

⇒ 240 = 160 + 2b

⇒ 80 = b      ⇒ 40 = b

Area of square = side² = (60m)²

                         = 3600 m²

Area of recta. = length x width

                       = 80 x 40

                       = 3200 m²

∴ Area of square is greater than that of rectangle.

Answer 2

Answer:

40m

Step-by-step explanation:

A SQUARE HAS 4 SIDES

SO THE PERIMETER OF THE SQUARE IS 4a=4x60

=240m

PERIMETER OF RECTANGLE=2x(L+B)=240

2x(80+B)=240

80+B=240/2

80+B=120

B=120-80

B=40

WIDTH=40m

VERIFICATION:

2x(L+B)

2x(80+40)

=240m