Question

help pls help provide explanation


The area of a rectangular sheet of blanket is x²-10x+21 square units. How much is the length is the width is x-7 units?​

Answer 1

The area of a rectangular sheet of blanket is x²-10x+21 square units. How much is the length is the width is x-7 units?

$Length is x - 3</p><p>\begin{gathered}\\\end{gathered}$

Given:

A = x² - 10x + 21

w = x - 7

Required:

Length

Equation:

A = l × w

where: A - area

l - length

w - width

Solution:

Factor x² - 10x + 21

x² - 10x + 21

(x - 3)(x - 7)

$Solve for length</p><p>A = l × w</p><p></p><p>(x - 3)(x - 7) = (x - 7) × l</p><p></p><p>l\:=\:\frac{(x - 3)(x - 7)}{x - 7}l= </p><p>x−7</p><p>(x−3)(x−7)l = x - 3</p><p>$

Final Answer:

Length is x - 3

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