Question

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

Answer 1

Step-by-step explanation:

Perimeter of the square=4xa

=4x60

=240m

Then

perimeter of square=perimeter of rectangle

240=2(l+b)

240=2(80+b)

240/2=80+b

120=80+b

120-80=b

b=40m

Then

area of square=a²

=axa

=60x60

=3600m²

And

area of rectangle=lb

=80x40

=3200m²

Therefore square is having largest area

Answer 2

$\huge\mathfrak{\red{answer}}$

"A" has the larger area

$\underline\bold\pink{step \: by \: step \: explination}$

perimeter of figure "A" = 4×side=4×60=240m

perimeter of figure "B" = 2(L+B)

perimeter of figure "B" = perimeter of figure "A"

$2(l + b) = 240 \\ 2(80 + b) = 240 \\ 80 + b = 120 \\ b = 120 - 80 = 40m$

Area of figure "A" = (side)² = 60×60 = 3600m²

Area of figure "B" = L×B = 80×40=3200m²

So, Area of figure "A" is larger than the area of figure "B"