Chapter MPS, Problem 5.7MPS

To determine

To find:The addition in the new dimensions.

Answer to Problem 5.7MPS

The addition in the new dimensionsis $4.6$ .

Explanation of Solution

Given information: The dimensions of room are 12 and 12 feet. The area demanded by customer is 275 square feet.

Calculation:

Consider the added dimension is $x$ .

Consider the function.

  $\begin{array}{l}\left(12+x\right)\left(12+x\right)=275\\ 144+12x+12x+x^2=275\\ x^2+24x-131=0\\ x=4.6,-28.6\end{array}$

Thus, the addition in the new dimensions is $4.6$ .