Question

two plots of land have the same perimeter on is a square of side 64 metre and the other rectangle with length at which plot has a greater area and by how much​

Answer 1

Answer:

Square has more area by 256 meter square compared to rectangular plot

Step-by-step explanation:

Let side of the square be a =64 m

Perimeter of square = 4a =4 x 64 =256 m

Area of the square is $A=a^2 =64^2 =4096 m^2$

Now,

perimeter of square =perimeter of rectangle

$256=2(l+b)$

Here length of the rectangle is l=80 m

$256=2(80+b)\\80+b=\frac{256}{2} \\b=128-80\\b=48 m$

Area of rectangle $=l\times b=80\times 48=3840 m^2$

Square has more area

Difference in area is  4096-3840 =256 $m^2$

Square has more area by 256 meter square compared to rectangular plot