Chapter 8, Problem 48SGR

To determine

To calculate the length of the rectangle.

Answer to Problem 48SGR

  $x^2-2x+5$

Explanation of Solution

Given:

Breadth of the rectangle = x

  

Area of the rectangle $=x^3-2x^2+5x$

Formula used:

Area of the rectangle $=l\times b$

Calculation:

Given, area of the rectangle is $x^3-2x^2+5x$ and the breadth of the rectangle is x.

Substituting the given values in the formula,

Area of the rectangle $=l\times b$

  $\begin{array}{l}\Rightarrow x^3-2x^2+5x=l\times x\\ \Rightarrow x^3-2x^2+5x=lx\\ \Rightarrow x^2-2x+5=l\end{array}$

Conclusion:

Therefore, the length of the rectangle is $x^2-2x+5.$