Question

A square and a rectangle field with measurements as given in the figure have the same perimeter. which field has a larger area

square field =60cm
rectangle field =80cm ​

Answer 1

$\huge\underline{\underline{\mathfrak{\purple{Answer-}}}}$

Refer to the attachment

Answer 2

$\huge{\fcolorbox{cyan}{pink}{Solution:-}}$

Given:-

→Side of square:- 60 cm

→Length of rectangle:- 80 cm

→Perimeter of square= Perimeter of rectangle

To find:-

breadth of rectangle=?

and largest area =?

Now,

Let the breadth be x

$\implies \: 2(x + 80) = 4 \times 60 \\ \implies \: x + 80 = \frac{240}{2} \\ \implies \: x + 80 = 120 \\ \implies x = 120 - 80 \\ \implies{ \pink{ \boxed {x = 40}}}$

•°• breadth is 40 cm

Now,

1) area of square :- a²

$\implies60 \times 60 \\ \implies \boxed{ \pink{3600 \: cm{}^{2} }}$

2) area of rectangle:- l×b

$\implies40 \times 80 \\ \implies \boxed{ \pink{3200 \: cm {}^{2} }}$

3600>3200

•°•Square field has larger area than rectangle area.