Understanding Area Formulas and Shapes
Explore area formulas for rectangles and squares, learn how to calculate areas, discover shapes formed by cutting rectangles in half, and understand the transition of formulas when rectangles are transformed into triangles.
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Area Formulas Area Formulas
Rectangle Rectangle
Rectangle Rectangle What is the area formula?
Rectangle Rectangle What is the area formula? bh
Rectangle Rectangle What is the area formula? What other shape has 4 right angles? bh
Rectangle Rectangle What is the area formula? What other shape has 4 right angles? Square! bh
Rectangle Rectangle What is the area formula? What other shape has 4 right angles? Square! bh Can we use the same area formula?
Rectangle Rectangle What is the area formula? What other shape has 4 right angles? Square! bh Can we use the same area formula? Yes
Practice! Practice! 17m 10m Rectangle Square 14cm
Answers Answers 17m 10m Rectangle 170 m2 Square 196 cm2 14cm
So then what happens if we cut a rectangle in half? What shape is made?
Triangle Triangle So then what happens if we cut a rectangle in half? What shape is made?
Triangle Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles
Triangle Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles So then what happens to the formula?
Triangle Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles So then what happens to the formula?
Triangle Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles bh So then what happens to the formula?
Triangle Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles bh 2 So then what happens to the formula?
Practice! Practice! Triangle 14 ft 5 ft
Answers Answers Triangle 14 ft 35 ft2 5 ft
Summary so far... Summary so far... bh
Summary so far... Summary so far... bh
Summary so far... Summary so far... bh
Summary so far... Summary so far... bh bh
Summary so far... Summary so far... bh 2 bh
Parallelogram Parallelogram Let s look at a parallelogram.
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends? What will the area formula be now that it is a rectangle?
Parallelogram Parallelogram Let s look at a parallelogram. What happens if we slice off the slanted parts on the ends? What will the area formula be now that it is a rectangle? bh
Parallelogram Parallelogram Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle! bh
Parallelogram Parallelogram Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle! bh
Parallelogram Parallelogram Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle! bh
Rhombus Rhombus The rhombus is just a parallelogram with all equal sides! So it also has bh for an area formula. bh
Practice! Practice! 9 in Parallelogram 3 in 2.7 cm Rhombus 4 cm
Answers Answers 9 in Parallelogram 27 in2 3 in 2.7 cm Rhombus 10.8 cm2 4 cm
Lets try something new with the parallelogram.
Lets try something new with the parallelogram. Earlier, you saw that you could use two trapezoids to make a parallelogram.
Lets try something new with the parallelogram. Earlier, you saw that you could use two trapezoids to make a parallelogram. Let s try to figure out the formula since we now know the area formula for a parallelogram.
Trapezoid Trapezoid
Trapezoid Trapezoid
Trapezoid Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula?
Trapezoid Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula? bh
