Question

The area of a rectangle is 2x²-9x+10. If it's breadth is (x-2), then find its length.

Answer 1

$\underline{\textbf{\large{Step-by-step explanation:}}}$

The area of rectangle is 2x²-9x+10,

breadth = (x - 2 )

we have to find the length of rectangle,

we know ,

★ Area of rectangle

= (length ) x (breadth )

${2x^2} { - 9x} { + 10} = {\textbf{(length)}{(x - 2)}}$

$2x^2 - 5x - 4x + 10 ={\textbf{( length) (x - 2)}}$

$\frac{(x(2x-5)-2(2x - 5))}{(x - 2)} = {\textbf{length}}$

$\frac{((x - 2)(2x - 5)) }{ (x - 2)} =\underline {\textbf{length}}$

$\underline{\boxed{\textbf{\large {2x - 5 = length}}}}$

$\underline{\textbf{length of rectangle is (2x - 5)}}$

Answer 2

Step-by-step explanation:

i hope this help you this is your answer