Math, asked by leena8477, 8 months ago

Calculate the perimeter of a rectangle whose area is 25x2 – 35x + 12.​

Answers

Answered by puspaldas2000
2

• Area of Rectangle = 25x² – 35x + 12

\green{\large{ \underline{\mathcal{\star \: To \: Find : }}}}

⋆ToFind:

• Perimeter of the Rectangle.

\green{\large{ \underline{\mathcal{\star \: Solution : }}}}

⋆Solution:

\blacksquare \: \scriptsize\boxed {\bold{Area \: of \: Rectangle = Length \times Breadth}}■

AreaofRectangle=Length×Breadth

So, By Factoring 25x² – 35x + 12, the Length and Breadth can be obtained.

\large \leadsto \tt{25 {x}^{2} - 35x + 12 = 0}⇝25x

2

−35x+12=0

\large \leadsto \tt{25 {x}^{2} - 15x - 20x + 12 = 0}⇝25x

2

−15x−20x+12=0

\large \leadsto \tt{5x(5x - 3) - 4(5x - 3) = 0}⇝5x(5x−3)−4(5x−3)=0

\pink{\large \leadsto \tt{(5x - 3)(5x - 4) = 0}}⇝(5x−3)(5x−4)=0

So, the Length and Breadth are (5x – 3)(5x – 4).

\blacksquare \: \scriptsize\boxed {\bold{Perimeter = 2(Length + Breadth)}}■

Perimeter=2(Length+Breadth)

\large \leadsto \tt{Perimeter= 2(5x - 3 + 5x - 4)}⇝Perimeter=2(5x−3+5x−4)

\orange{\large \leadsto \boxed{\tt{Perimeter= 2(10x - 7)}}}⇝

Perimeter=2(10x−7)

\huge{\red{\ddot{\smile}}}

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Answered by raynerd212006
7

Hello friend

Hope this helps you

Area of rectangle = 25x^2 - 35x + 12

=25x^2 - 15x - 20x + 12

= 5x(5x - 3) - 4(5x - 3)

=(5x - 3)(5x - 4)

=x=3/5 or 4/5

therefore, l=4/5 and b=3/5

Perimeter = 2(l + b)

=2(3/5 + 4/5)

=2(7/5)

=14/5

=2.8

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