Question

The area of rectangle is 2x2 + 17x + 21. If its breadth is ( 2x + 3 ),then find its length​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

★given:-

• The area of rectangle is 2x^2+ 17x + 21. If its breadth is ( 2x + 3 )

★find:-

• its length

★solution:

• we know that rectangle area find formula

$\star \pink{length \times breadth}$

given that rectangle area

$\implies \: 2x {}^{2} + 17x + 21$

and breadth

$\implies \: 2x + 3$

let's length= l

question according put value rectangle area find formula

$\implies \: l \times 2x + 3 = 2x {}^{2} + 17x + 21 \\ \\ \implies \: l = \frac{2x {}^{2} + 17x + 21 }{2x + 3}$

can we be written as

$\implies \: l = \frac{2x {}^{2} + 14x + 3x + 21 }{2x + 3} \\ \\ \implies \:l = \frac{2x(x + 7) + 3(x + 7)}{2x + 3} \\ \\ \implies \: l = \frac{(2x + 3) ( x + 7)}{(2x + 3)} \\ \\ \implies \: l = x + 7$

answer

rectangle length is

$\star \pink{x + 7}$

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I hope it helps you