Suggested languages for you:

Americas

Europe

Q30.

Expert-verifiedFound in: Page 514

Book edition
Student Edition

Author(s)
Carter, Cuevas, Day, Holiday, Luchin

Pages
801 pages

ISBN
9780078884801

**The area of a rectangle shown is ${\mathit{x}}^{\mathbf{3}}\mathbf{-}\mathbf{2}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{5}\mathit{x}$**** square units. What is the length?**

The length of rectangle is ${x}^{2}-2x+5$.

The area of the rectangle is multiplication of the length and width.

The area of the rectangle is evaluated as:

$\begin{array}{c}\text{Area}=\text{length}\times \text{width}\\ {x}^{3}-2{x}^{2}+5x=\text{length}\times x\end{array}$

Now, factorizing the area of the polynomial:

$\begin{array}{c}\text{Area}={x}^{3}-2{x}^{2}+5x\\ =x({x}^{2}-2x+5)\\ \text{length}\times \text{width}=({x}^{2}-2x+5).x\end{array}$

Comparing the length and width *x*:

The length of the rectangle is ${x}^{2}-2x+5$.

94% of StudySmarter users get better grades.

Sign up for free