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

Hello !!

__________________________________________________________________________________________________________________________________________

Thanks for asking this Question !

Hope you will find my answer in the list of brainlest !

Given

Side of Square plot = 40 m

Breadth of rectangle plot = 25 m

Require

Which plot is larger and by how much .

Solution

It is Given in the question that two plots have same perimeter

Perimeter of Square Plot = Perimeter of rectangle plot

We Know that ,

Find Length of the rectangular Plot

Perimeter of Square = 4* Side

Perimeter of rectangle plot = 2( l + b )

4 * Side = 2 ( l + b )

⇒ 4 * 40 = 2 ( l + 25 )

⇒ 160 = 2l + 50

⇒160 - 50 = 2l

⇒ 2l = 110$l = \frac{110}{2}$

⇒ l = 55 m

Find area of Square and rectangular plot

→ Area of Square

⇒ a^2

⇒ (40)^2

⇒ 1600 m^2

→ Area of rectangle

l * b

⇒ 55 * 25

⇒ 1375 m^2

Therefore , the Square plot has larger area by (1600 - 1375) which is equal to $225m^{2}$

_______________________________________________________________________________________________________________________________________

Be Brainly

Together We Go Far

@FuturePoet