Question

two poles are of same perimeter. One is a square of side 60m , while the other is the a rectangle whose breadth is 15m . Which plot has greater area and by how much?

Answer 1

$\huge \bf \orange{Hey \: there !! }$


▶ Given :-

→ Two plots of same perimeter .

→ Side of square = 60 m.

→ Breadth of rectangle = 15 m.



▶ To find :-

→ Which plot have greater area ?


$\huge \red { \underline{ \overline{ \bf Solution :- }}}$


We have,

→ Perimeter of square plot = Perimeter of rectangular plot .

=> 4 × side = 2( l + b ) .

=> 4 × 60 = 2( l + 15 ) .

=> 240 = 2l + 30 .

=> 2l = 240 - 30 .

=> 2l = 210 .

=> l = 210/2 .

•°• l = 105 m.


▶Now,

→ Area of square plot = side² .

= (60)² .

= 3600 m² .


And,

→ Area of rectangular plot = l × b .

= 105 × 15 .

= 1575 m² .


✔✔ Hence, the square plot have greater area by ( 3600 - 1575 ) 2025m² .✅✅


THANKS



#BeBrainly.

Answer 2

$\bold{\huge{Hay!!}}$


$\bold{Dear\:user!!}$



$\bold{\underline{Question-}}$

two poles are of same perimeter. One is a square of side 60m , while the other is the a rectangle whose breadth is 15m . Which plot has greater area and by how much?





$\bold{\underline{Answer-}}$According to the question we know that two poles are of same perimeter one is a square of side is 60 Breadth of rectangle is 15m

Now, perimeter of square plot = perimeter of rectangular plot

=> 4 × 60 = 2( L + B)

=> 240 = 2(L + 15 )

=> 240 = 2L+ 30

=> 2L = 210

=> L = 210 / 2

=> L = 105 m


Then, area of square plot = side * side

=> 60 * 60 = 3600m²

area of rectangular plot = L × B

=> 105 × 15 = 1575m²

Now, the square plot grater area =

Area of sector plot - Area of rectangular plot

=> 3600 - 1575

=> 2025m²