Question

A square and rectangular field with measurement as given in figure have the same perimeter.

Which field has the larger area?

• A. Square
• B. Rectangle
• C. Can't compare
• D. None

Answer 1

The correct option is A Square

$\because$ Perimeter of square and rectangle are equal.

$(4\times 50)$$=$$(70+70+x+x)$

$\Rightarrow 200=140+2x$

$\Rightarrow x=30$

Area of square$=$$side\times side$$=$$50\times 50$$=2500$

Area of rectangle$=$$length\times breadth$$=$$70\times 30$$=2100$

Square has larger area.

Hence, Option A is correct.