Question

a square and a rectangular field with measurement as 60m and 80m have the same perimeter which field has a larger area

Answer 1

perimeter of rect.= 2(l+b)
sides of rect. are 60m and 80m
so peri. will be 280m
area of rect. = 4800m^2
side of sq.= 280/4
70m
area of sq.= 70^2
=4900m^2
in comparison to both area of sq. is greater

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"