1. Find the unknown side length of the rectangle if its area is 11 m². Show your reasoning.

   

   A rectangle that has area labeled 11 meters squared. The side length of one side of the rectangle is labeled three and two thirds meters and the side length of the other side is labeled with a question mark. Each angle has a right angle symbol indicated.

2. Check your answer by multiplying it by the given side length (\(3\frac 23\)). Is the resulting product 11? If not, revise your previous work.

A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths \(1\frac13\) feet. How many tiles are needed to cover the entire floor? Show your reasoning.

The area of a rectangle is \(17\frac12\) in² and its shorter side is \(3\frac12\) in. Draw a diagram that shows this information. What is the length of the longer side?

The triangle has an area of \(7\frac{7}{8}\) cm² and a base of \(5\frac14\) cm.

What is the length of \(h\)? Explain your reasoning.

A triangle with a horizontal base labeled five and one fourth centimeters. A vertex is above and to the left of the horizontal side and a horizontal line is extended to the left from the base. A vertical dashed line is drawn from the top rvertex to the extended base and a right angle symbol is indicated. The vertical dashed line is labeled h.

Find the value of \(\frac{5}{32}\div \frac{25}{4}\). Show your reasoning.

A builder is building a fence with \(6\frac14\)-inch-wide wooden boards, arranged side-by-side with no gaps or overlaps. How many boards are needed to build a fence that is 150 inches long? Show your reasoning.