The length of a square shaped garden is 40 m. The length and breadth o

1.	The length of a square shaped garden is 40 m. The length and breadth of another rectangular garden are respectively 50 m and 30 m. Find the perimeter of both gardens. Which garden has more area and by how much? Show answer with proper steps and diagram.
Answer» Answer :- Given :- Length of SQUARE garden is 40 m. Length and breadth of rectangular garden are 50 m and 30 m RESPECTIVELY. To Find :- Perimeter of both gardens. Which garden has more area. Solution :- Square :- $\begin{gathered}\begin{gathered} \sf40 \: m \: \: \: \: \: \: \: \: \: \: \: \\ {\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}} { \sf\:40 \: m} \end{gathered}\end{gathered}$ Perimeter of square = 4 × SIDE = 4 × 40 = 160 Perimeter of square = 160 m Area of square garden = Side × Side = 40 × 40 = 1600 Area of square garden = 1600 m² Rectangle :- $\begin{gathered}\begin{gathered} \sf 50\:m \: \: \: \: \: \: \: \: \: \: \: \\ \boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}} \sf\:30\:m \end{gathered}\end{gathered}$ Perimeter of rectangle = 2 ( Length + Breadth ) = 2 ( 50 + 30 ) = 160 Perimeter of rectangle = 160 m Area = Length × Breadth = 50 × 30 = 1500 Area of rectangular garden = 1500 m² Area of square garden > Area of rectangular garden Area of square garden - Area of rectangular garden = 1600 - 1500 = 100 Square garden is 100 m more than that of rectangular garden.

The length of a square shaped garden is 40 m. The length and breadth of another rectangular garden are respectively 50 m and 30 m. Find the perimeter of both gardens. Which garden has more area and by how much? Show answer with proper steps and diagram.

Answer»

Answer :-

Given :-

Length of SQUARE garden is 40 m.

Length and breadth of rectangular garden are 50 m and 30 m RESPECTIVELY.

To Find :-

Perimeter of both gardens.
Which garden has more area.

Solution :-

Square :-

$\begin{gathered}\begin{gathered} \sf40 \: m \: \: \: \: \: \: \: \: \: \: \: \\ {\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}} { \sf\:40 \: m} \end{gathered}\end{gathered}$

Perimeter of square = 4 × SIDE

= 4 × 40

= 160

Perimeter of square = 160 m

Area of square garden = Side × Side

= 40 × 40

= 1600

Area of square garden = 1600 m²

Rectangle :-

$\begin{gathered}\begin{gathered} \sf 50\:m \: \: \: \: \: \: \: \: \: \: \: \\ \boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}} \sf\:30\:m \end{gathered}\end{gathered}$

Perimeter of rectangle = 2 ( Length + Breadth )

= 2 ( 50 + 30 )

= 160

Perimeter of rectangle = 160 m

Area = Length × Breadth

= 50 × 30

= 1500

Area of rectangular garden = 1500 m²

Area of square garden > Area of rectangular garden

Area of square garden - Area of rectangular garden = 1600 - 1500

= 100