Question

The perimeter of a rectangle is 32 centimeters.The width is 7 centimeters.What is the area of the rectangle?

Answer 1

Given :

• Perimeter of the rectangle is 32 cm.
• Breadth if the rectangle is 7 cm

To Find :

We have to find the area of the rectangle.

Explanation :

We know the formula to calculate the area of the rectangle.

→ Perimeter = 2(Length + Breadth)

→ 32 = 2(Length + 7)

→ 32/2 = Length + 7

→ 16 = Length + 7

→ Length = 16 - 7

→ Length = 9 cm

$\rule{200}{2}$

Now,

→ Area = Length * Breadth

→ Area = 9 * 7

→ Area = 63 cm²

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★ Diagram :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.4mm}\put(7.7,3){\large\sf{A}}\put(7.6,2){\sf{\large{7}}}\put(7.7,1){\large\sf{B}}\put(9.2,0.7){\sf{\large{Length}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

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Answer 2

Given :

$\bullet\:\:\textsf{Perimeter of reactangle = \textbf{32 cm}}\\\bullet\:\:\textsf{Width = \textbf{7 cm}}$

___________________...

Answer:

$:\implies\sf Perimeter\:of\: rectangle = 2 (Length + Breadth) \\\\\\:\implies\sf 32 = 2 (l + 7)\\\\\\:\implies\sf 32 = 2l + 14\\\\\\:\implies\sf 32 - 14 = 2l\\\\\\:\implies\sf 2l = 18\\\\\\:\implies\underline{\boxed{\sf Length = 9\:cm}}$

___________________...

☯$\underline{\boldsymbol{According\: \:the\: Question\:now :}}$

$\dashrightarrow\sf\:\:Area\:of\: rectangle = Length \times Breadth\\\\\\\dashrightarrow\sf\:\: Area\:of\: rectangle = 7\:cm \times 9\:cm\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf Area\:of\: rectangle = 63\:cm^2}}$

$\therefore\:\underline{\textsf{The area of reactangle is \textbf{63}}\:\sf{cm^2}}.$