Math, asked by CutiepieSimran, 5 months ago

5. The length and breath
of a rectangle are
3x^2-2 and 2X+5respectively.
find its area-​

Answers

Answered by tusharraj77123
7

Answer:

Area of the rectangle = 6x³+15x²-4x-10

Step-by-step explanation:

Given :

Length = \tt{{3x}^{2}-2}

Breadth = \tt{2x+5}

Diagram :

\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(2,3.5){\sf\large $3x^2-2$}\put(-1.8,1.4){\sf\large 2x+5}\put(-0.5,-0.4){\bf D}\put(-0.5,3.2){\bf A}\put(5.3,-0.4){\bf C}\put(5.3,3.2){\bf B}\end{picture}

To find :

The area of the rectangle

Taken :

To find the area of the rectangle use this formula -:

\boxed{\tt{A=L\:\times\:B}}

Where,

A = Area of the rectangle

L = Length

B = Breadth

Solution :

:\implies\tt{A=({3x}^{2}-2)\times(2x+5)}

:\implies\tt{A={3x}^{2}(2x+5)-2(2x+5)}

Use cross multiplication

:\implies\tt{A={6x}^{3}+{15x}^{2}-4x-10}

So , the area of the rectangle is 6x³+15x²+4x+10 .

Extra :

Perimeter -:

:\implies\tt{P=2({3x}^{2}-2+2x+5)}

:\implies\tt{P={6x}^{2}-4+4x+10}

:\implies\tt{P={6x}^{2}+4x+10-4}

:\implies\tt{P={6x}^{2}+4x+6}

So , the perimeter of the rectangle is 6x²+4x+6 .


MrSanju0123: Awesome ❤
Anonymous: Nice
BrainlyPhantom: Great!
Answered by MrSanju0123
53

Answer:

Area = 6x³ + 15x² - 4x - 10

Step-by-step explanation:

 \huge{\boxed{\boxed{\underline{\underline{\textsf{\textbf{ \red{ Given}}}}}}}}

  •  \bf\longrightarrow Length of Rectangle = \sf{3x^2-2}

  •  \bf\longrightarrow Breadth of Rectangle= \sf{2x+5}

 \huge{\boxed{\boxed{\underline{\underline{\textsf{\textbf{ \red{ To\:Find}}}}}}}}

  •  \bf\longrightarrow Its Area

 \huge{\boxed{\boxed{\underline{\underline{\textsf{\textbf{ \red{Solution }}}}}}}}

We know that Area of a Rectangle :-

  • \boxed{\sf Area = Length \times Breadth}

  • \boxed{\sf Area =\sf{(3x^2-2)}   \times (2x + 5)}

  • Explanation in 2nd Picture

  •    \huge\bf\longrightarrow  \sf 6x^3+15x^2-4x-10

Fig 1 = Picture of Rectangle

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