Chapter 9.9, Problem 6P

To determine

To calculate:

Dimension of the box.

Answer to Problem 6P

Dimension of the box is $-12x^5{y}^5$ .

Explanation of Solution

Given information:

Height of the rectangular box is $75cm$ .

Calculation:

It is given that, length is twice the sum of the width and height and twice the width exceeds the height by $5cm$ .

For finding out the dimension of the box, multiply the constant terms.

When multiplying variables with the same base, you add the exponents.

  $\begin{array}{l}=-12x^{3+2}{y}^{1+4}\\ =-12x^5{y}^5\end{array}$

Thus, dimension of the box is $-12x^5{y}^5$ .