Question

A square and a rectangle have the same perimeter. If the side of the square is 16 meter and the length of the rectangle is 18meter ,the breadth of the rectangle.​

Answer 1

Side of square = 16m

Perimeter of square = 16 x 4 = 64 m

Perimeter of rectangle = Perimeter of square = 64 m

Length of rectangle = 18m

Breadth = x

Perimeter = 2 ( l + b )

Perimeter = 2 ( 18 + x )

Perimeter = 36 + 2x

64 = 36 + 2x

2x = 64 - 36

x = 28/2

x = 14

Amannnscharlie

Answer 2

AnswEr :

• Side of Square ( a ) = 16 m
• Length of Rectangle ( l ) = 18 m
• Breadth of Rectangle ( b ) = ?

⋆ Reference of Image is in the Diagram :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.3,2){\mathsf{\large{16 m}}}\put(7.7,1){\large{B}}\put(9,0.7){\matsf{\large{16 m}}}\put(10.6,1){\large{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){2}}\put(10.5,1){\line(0,3){2}}\put(8,3){\line(3,0){2.5}}\put(10.6,3){\large{D}}\end{picture}$

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7.3,2){\mathsf{\large{b m}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{18 m}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

$\rule{300}{1}$

• According to the Question Now :

$\longrightarrow \tt Perimeter \:of \: Square = Perimeter \: of \:Rectangle \\ \\\longrightarrow \tt4 \times Side = 2 \times (Length + Breadth) \\ \\\longrightarrow \tt \cancel4 \times 16 = \cancel2\times (18 + Breadth) \\ \\\longrightarrow \tt 2 \times 16 = (18 + Breadth) \\ \\\longrightarrow \tt 32= 18 + Breadth \\ \\\longrightarrow \tt Breadth =32 - 18 \\ \\\longrightarrow \boxed{ \green{\tt Breadth = 14 \:m}}$

⠀

∴ Breadth of the Rectangle will be 14 m.

$\rule{300}{2}$

$\star \: \underline \frak{Some \:Information \:about \:Square :}$

⋆ All sides are equal and parallel.

⋆ All angles are equal to 90 degrees.

⋆ The diagonals are equal and bisect each other.

⋆ Any two adjacent angles add up to 180 degrees.

⋆ Area of Square = ( Side )²

⋆ Perimeter of Square = 4 × Side

$\rule{300}{1}$

$\star\: \underline \frak{Some \:Information \:about \: Rectangle :}$

⋆ Opposite sides are equal and parallel.

⋆ All angles are equal to 90 degrees.

⋆ The diagonals are equal and bisect each other.

⋆ The intersection of the diagonals is the circumcentre. That is you can draw a circle with that as centre to pass through the four corners.

⋆ Any two adjacent angles add up to 180 degrees.

⋆ Lines joining the mid points of the sides of a rectangle in an order form a rhombus of half the area of the rectangle.

⋆ The sum of the four exterior angles is 4 right angles.

⋆ Area of Rectangle = Length × Breadth

⋆ Perimeter of Rectangle = 2 × (Length + Breadth)

#answerwithquality #BAL