Question

Two plots have the same perimeter. One is a square of side 10m and another is a rectangle of breadth 8m. Which plot has the greater area and by how much

Answer 1

Answer:

Square  plot has more area by 4 meter square compared to rectangular plot

Step-by-step explanation:

Let side of the square be a =10 m

Perimeter of square = 4a =4 x 10 =40 m

Area of the square is  $a^2 =10^2 =100 m^2$

Now,

perimeter of square =perimeter of rectangle

bread of the rectangle is b= 8m

$4a=2(l+b)\\4\times 10 =2(l+8)\\l=20-8\\l=12m$

Length of rectangular  plot is 12m

Area of the rectangle =$l\times b=8\times 12=96 m^2$

Difference in area = 100-96 =4 meter square

Square has more area by 4 meter square compared to rectangular plot