Question

Find the perimeter of a rectangular field whose length is 352 cm and which has an area equal to 30976 square

Answer 1

Answer:

★$\huge\underline\mathfrak{Solution\::}$

★$\textbf{\underline{Given\::}}$

● Length = 352 cm

● Area = 30976 sq.cm

★$\textbf{\underline{To\:find\::}}$

● Perimeter of rectangle field

★$\textbf{\underline{\underline{Solution\::}}}$

Area = Length × Breadth

=> 30976 = 352 × Breadth

=> Breadth = 30976/352 cm

=> Breadth = 88 cm

_______________________

Perimeter = 2 ( Length + Breadth)

=> Perimeter = 2 ( 352+88) cm

=> Perimeter = (2 × 440) cm

=> Perimeter = 880 cm

Hope it helps you ♥ ♥ ♥

Answer 2

AnswEr :

• Length of Field = 352 cm
• Area of Field = 30,976 cm²
• Find the Perimeter?

⋆ Refrence of Image is in the Diagram :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(7,2){\mathsf{\large{Breadth}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\matsf{\large{352 cm}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,3){\large{D}}\end{picture}$

• According to the Question Now :

$\longrightarrow \tt Area \:of \: Field = Length \times Breadth \\ \\\longrightarrow \tt 30976 \:{cm}^{2} = 352 \:cm \times Breadth \\ \\\longrightarrow \tt \cancel \dfrac{30976 \:{cm}^{2}}{352} = Breadth \\ \\\longrightarrow\blue{\tt Breadth = 88 \:cm}$

$\begin{array}{r|l} &\bf 88 \\\cline{1-2} \sf 352 & 3\: 0\: 9\:7\:6\\ &2\: 8\: 1\:6 \\ \cline{2-2} & \quad2\:8\:1\:6\\&\quad2\:8\:1\:6\\\cline{2-2} &\quad\sf{x\:x\:x\:x}\\ \end{array}$

$\rule{300}{1}$

• Calculation of Perimeter Now :

⇒ Perimeter = 2 × (Length + Breadth)

⇒ Perimeter = 2 × (352 cm + 88 cm)

⇒ Perimeter = 2 × 440 cm

⇒ Perimeter = 880 cm

⠀

∴ Perimeter of rectangular field is 880 cm.

$\rule{300}{2}$

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

⋆ 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)

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