Question

A rectangle piece of paper has a length of 14cm and a breath of 12cm. A square piece of paper of perimeter 24cm us cut off from it. find the area of the piece if paper left
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Answer 1

$\boxed{Question:-}$

A rectangle piece of paper has a length of 14cm and a breath of 12cm. A square piece of paper of perimeter 24cm us cut off from it. find the area of the piece if paper left?

$\boxed{Solution:-}$

For Rectangle↓

Length(l)=14cm

Breadth(b)=12cm

Area of Rectangle=l×b

=>14×12=168cm²

Square↓

Perimeter=4×a

=>24=4×a

=>$\frac{\cancel{24}}{\cancel{4}}$=A

=>6cm=a

side(a)=6

Now,

=>a²=36

=>168-36

=>132cm²

$\mathcal{BE \: BRAINLY}$

Answer 2

$\huge\underline\mathrm{Answer-}$

$\large{\boxed{\red{\rm{Remaining\:Area\:of\:paper\:left=\:132\:cm^2}}}}$

$\huge\underline\mathrm{Explanation-}$

Given :

• Length of rectangle = 14 cm
• Breadth of rectangle = 12 cm
• Perimeter of square = 24 cm

To find :

• Remaining area if square is cut off from rectangle

Solution :

We know that,

$\large{\boxed{\rm{Area\:Of\:Rectange\:=\:Length\:\times\:Breadth}}}$

Putting the values,

$\implies$ Area of rectangular piece = 14 × 12

$\implies$ Area of rectangular piece = 168 cm²

Now, it is given that a square of Perimeter 24 cm is cut off from rectangular piece,

$\large{\boxed{\rm{Perimeter\:of\:square\:=\:4\:\times\:side}}}$

$\implies$ 24 = 4 × side

$\implies$ Side = $\cancel{\dfrac{24}{4}}$

$\implies$ Side = 6 cm

$\therefore$ Side of square is 6 cm.

Now, we have to find the area of square.

$\large{\boxed{\rm{Area\:Of\:Square\:=\:Side^2}}}$

$\implies$ Area of square = 6 × 6

$\implies$ Area of square = 36 cm²

$\rule{100}1$

$\boxed{\rm{Remaining\:Area\:=\:Area\:of\:rectangle\:-\:Area\:of\:square}}$

$\implies$ Remaining area = 168 - 36

$\large{\boxed{\red{\rm{\therefore\:Remaining\:Area\:of\:paper\:left=\:132\:cm^2}}}}$