Question

Can we get a remainder of degree 3 by dividing a polynomial of degree 5 by another polynomial of degree 3?

Answer 1

Answer:

ANSWER :

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❖ If the perimeter of a square is equal to the perimeter of a rectangle and the side of square is 30 cm and length of the rectangle is 40 cm; then the breadth of the rectangle will be 20 cm.

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SOLUTION :

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❒ Given :-

Perimeter of the Square = Perimeter of the Rectangle

Side of the Square = 30 cm

Length of the Rectangle = 40 cm

❒ To Calculate :-

Breadth of the Rectangle = ?

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❒ Required Formulas :-

\dag \: \: \underline{ \boxed{ \sf{ \: Perimeter \: \: of \: \: a \: \: Square = 4 \times Side \: }}}†

PerimeterofaSquare=4×Side

\dag \: \: \underline{ \boxed{ \sf{ \: Perimeter \: \: of \: \: a \: \: Rectangle = 2 (Length + Breadth) \: }}}†

PerimeterofaRectangle=2(Length+Breadth)

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❒ Calculation :-

We have,

Side of the Square = 30 cm

Using the formula of the Perimeter of a Square, we get,

★ Perimeter of the Square = 4 × Side

➨ Perimeter of the Square = 4 × 30 cm

➨ Perimeter of the Square = 120 cm

So, the Perimeter of the Square = 120 cm

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Again,

Perimeter of the Square = Perimeter of the Rectangle

Hence,

Perimeter of the Rectangle = 120 cm

We have,

Length of the Rectangle = 40 cm

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Using the formula of the Perimeter of a Rectangle, we get,

★ Perimeter of a Rectangle = 2 (Length + Breadth)

➜ 120 cm = 2 (40 cm + Breadth)

➜ 2 (40 cm + Breadth) = 120 cm

➜ 40 cm + Breadth = \rm{\dfrac{120 \: cm}{2}}

2

120cm

➜ 40 cm + Breadth = 60 cm

➜ Breadth = 60 cm - 40 cm

∴ Breadth = 20 cm

Hence, the Breadth of the Rectangle is 20 cm.