Chapter 7.5, Problem 13E

To determine

a)

To find:

The equation by setting the larger rectangle’s length to width ratio equal to that of the smaller rectangle.

To determine

b)

To find:

The lowest common denominator of the two fractions in part (a), and multiply each side of the equation in part (a) by it.

To determine

c)

To simplify:

The result of part (b) by distribution.

To determine

d)

To divide:

The result of part (c) by $b^2$.

To determine

e)

To simplify:

The result of part (d) by cancelling common terms.

To determine

f)

To find:

The term in terms of $x$ by substituting $x$ for $\frac{a}{b}$.

To determine

g)

To find:

The value of $x$ by solving the quadratic equation.

To determine

h)

To explain:

The reason for not taking the negative value in part (g).