Question

two plots of land have the same primeter. one is a square of side 40m. while the other is a rectangle of bradth 25. which plots is larger and by how much.

Answer 1

$\huge \bf \pink{ \mathcal{H}ey \: there !! }$


▶ Suggestion :- 

→ Try to write question with appropriate data and with correct spelling .


▶ Question :- 

→ Two plots of land have the same perimeter. One is a square of side 40m. While the other is a rectangle of breadth 25m . which plots is larger area and by how much.


▶ Answer :- 

→ Square plot has larger area by 225 m² .



▶ Step - by - step explanation:- 


➡ Given :- 

→ Perimeter of square plot = Perimeter of rectangle plot .

→ Side of square plot = 40 m.

→ Breadth of rectangle plot = 25 m.



➡ To find :- 

→ Which plot is larger and by how much .


$\huge \blue{ \mid{ \underline{ \overline{ \sf Solution :- }} \mid}}$  



We have ,

→ Perimeter of square plot = Perimeter of rectangle plot.

==> 4 × side = 2( l + b ) .

==> 4 × 40 = 2( l + 25 ) .

==> 160 = 2l + 50 .

==> 160 - 50 = 2l .

==> 2l = 110 .

==> l = 110/2 .

•°• l = 55 m.



→ Area of square = ( side ) ² .

= (40)² .

= 1600 m² .


→ Area of rectangle = l × b .

= 55 × 25 .

= 1375 m² .


✔✔ Hence, the square plot has larger area by [ 1600 - 1375 ] 225 m² ✅✅.



THANKS


#BeBrainly.

Answer 2

Perimeter of square plot = Perimeter of rectangle plot.

4 × side = 2( l + b ) .
4 × 40 = 2( l + 25 ) .
160 = 2l + 50 .
160 - 50 = 2l .
2l = 110 .
l = 110/2 .

l = 55 m.



Area of square = ( side ) ² .
= (40)² .
= 1600 m² .


Area of rectangle = l × b .
= 55 × 25 .
= 1375 m² .

Therefore, the square plot has larger area by [ 1600 - 1375 ] 225 m² .