Question

96 square centimeters and it's length 12 centimeters. What is it's width

Answer 1

Correct Question :

• The area of rectangle is 96 square centimetres and it's length is 12 centimetres . what is width

Answer :

• Breadth of rectangle is 8cm

To Find :

• Width

Answer :

Given,

• Length of rectangle is 12cm
• Area of rectangle is 96cm²

• Let the breadth of rectangle be b

We know that :

• Area of rectangle is l × b

Where

• l is length of rectangle
• b is breadth of rectangle

⇢ Area of rectangle = length × breadth

⇢ 96 = 12 × b

⇢b = 96/12

⇢ b = 8cm

Hence,

Breadth of rectangle is 8cm.

Verification :

⇢ Area of rectangle = length × breadth

⇢ 96 = 12 × 8

⇢ 96 = 96

Hence , Verified.

Answer 2

★ Correct Question :-

The area of the rectangle is 96²cm and it's length is 12cm. What is it's width ?

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★ To Find :-

Width (Breadth) of the rectangle

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★ Used Formula :-

$\color{deeppink} \: : \: ⟹ \: \: \color{blue}{ \boxed{ \bf Area_{(Rectangle)} = Length×Breadth}}$

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★ Solution :-

Here,

• Length = L = 12cm
• Breadth = B = ?cm
• Area = A = 96²cm

$\color{deeppink} \: : \: ⟹ \: \: \color{blue}{\bf Area_{(Rectangle)} = Length×Breadth}$

$\color{deeppink} \: : \: ⟹ \: \: \color{blue}{\bf 96 = 12×B }$

$\displaystyle\color{deeppink} \: : \: ⟹ \: \: \color{blue}{\bf \cancel\frac{96}{12} = B }$

$\large\displaystyle \: \color{deeppink} { : \: ⟹} \: \: \: \colorbox{deeppink}{\colorbox{blue}{\bf \: B = 8 \: }}$

∴ Breadth of the rectangle = 8cm

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★ Verification :-

$\color{blue} \: : \: ⟹ \: \: \color{deeppink}{\bf Area_{(Rectangle)} = Length×Breadth}$

$\color{blue} \: : \: ⟹ \: \: \color{deeppink}{\bf 96 = 12×B }$

$\color{blue} \: : \: ⟹ \: \: \color{deeppink}{\bf 96 = 12 \times 8 }$

$\displaystyle \: \color{blue} { : \: ⟹} \: \: \: \colorbox{blue}{\colorbox{deeppink}{\bf \: 96 = 96\: }}$

Hence, verified !!

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