Unit 3, Lesson 10
Rectangles and Triangles with Fractional Lengths
Accelerated 6
10.1
Warm-up
Notice and Wonder: Areas of Squares
What do you notice? What do you wonder?
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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
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.
The area of Triangle B is 8 square units. Find the length of
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.
The area of Triangle C is
What is the length of
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.
If a rectangle has side lengths
A large square evenly divided into 4 smaller squares. The large square has bottom horizontal side length of 1 inch. Of the four smaller squares, the top left square is shaded blue. It has side lengths labeled one half inch.
This means that if we know the area and one side length of a rectangle, we can divide to find the other side length.
If one side length of a rectangle is
Then we can find the other side length, in inches, using division:
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