91Ó°ÊÓ

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) Find the perimeter of a rectangle that is 14 centimeters long and 9 centimeters wide.

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) If the perimeter of a rectangle is 108 inches and its length is \(3 \frac{1}{4}\) feet, find its width in inches.

How many years will it take $$\$ 1000$$ to double itself if it is invested at \(5 \%\) simple interest?

How long will it take $$\$ 8000$$ to triple itself if it is invested at \(6 \%\) simple interest?

The width of a rectangle is one-half of its length. If the perimeter of the rectangle is 54 feet, find its length and width.

For Problems 11-32, use the geometric formulas given in this section to help solve the problems. (Objective 3 ) Find the length of an altitude of a trapezoid with bases of 8 inches and 20 inches and an area of 98 square inches.

The width of a rectangle is 3 inches less than one-half of its length. If the perimeter of the rectangle is 42 inches, find the area of the rectangle.

A tank contains 50 gallons of a \(40 \%\) solution of antifreeze. How much solution needs to be drained out and replaced with pure antifreeze to obtain a \(50 \%\) solution?

Solve each of the equations. $$-2+\frac{x+3}{4}=\frac{5}{6}$$

The perimeter of an equilateral triangle is 4 centimeters more than the perimeter of a square, and the length of a side of the triangle is 4 centimeters more than the length of a side of the square. Find the length of a side of the equilateral triangle. (An equilateral triangle has three sides of the same length.)