What do you notice? What do you wonder?

Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of inches and an area of square inches.

1. Find the length of the tray in inches. Show your reasoning.
2. The tiles are inch by inch. Draw a diagram to show one way Noah could lay the tiles. Your diagram does not need to show every tile but should show known measurements.
3. How many tiles would Noah need to cover the tray completely, without gaps or overlaps? Explain or show your reasoning.

1. Find the area of Triangle A in square centimeters.
   Show your reasoning.

   

   A triangle labeled A with a vertical side. One vertex is to the left of the vertical side. A dashed horizontal line is drawn from the first vertex to the vertical side of the triangle and a right angle symbol is indicated. The dashed line and the vertical side are both labeled 4 and one half centimeters.

2. The area of Triangle B is 8 square units. Find the length of . Show your reasoning.

   

   A triangle labeled B has a horizontal side on the bottom of the triangle and a vertex above the horizontal side. A dashed line is drawn from the vertex to the horizontal sideand a right angle symbol is indicated. The horizontal side is labeled lowercase b and the dashed line is labeled eight thirds.

3. The area of Triangle C is square units.
   What is the length of ? Show your reasoning.

   

   A triangle labeled C has a horizontal side at the top of the triangle and a vertex below the horizontal side and to the left. A horizontal line extends from the  horizontal side and to the left. A vertical dashed line is drawn from the bottom vertex to the extended horizontal line and a right angle symbol is indicated. The dashed line is labeled h and the horizontal side of the triangle is labeled 3 and three fifths.