Question

two plots of land have same perimeter one is a square of side 60 while the other is a rectangle whose breadth is 1.5 Dam which floor has the greater area and by how much​

Answer 1

Answer:

perimeter of square= 4a=perimeter of rectangle = 2(L+b)____(i)

4a= 60×4cm

2(L+1.5)cm

then from equ,(i)

$60 \times 4 = 2(l + 1.5) \\ => 240 = 2l + 3 \\ => 2l = 240 - 3 \\ => 2l = 237 \\ => l = 237 \div 2 \\ 118.5cm$

Now area of square floor=a²

=60×60

=3600cm²

and area of rectangular floor =L×B

=118.5×1.5=177.75cm²

thus square floor has greater area by (3600-177.75=)3422.25cm²