Question

avid
mr. walters
math
lesson objective
(handwritten text, partially unclear)
notes
(blank)
passage
(blank)
quadrilateral:
(blank lines)
examples:
finding the area of a parallelogram.
formula for parallelogram: _______________
formulas for triangle: _________________
(diagram of a parallelogram with side 12m and base 4m, and another parallelogram with base 15cm, side 10cm, and height 8cm)
formula for a parallelogram _______________
formula for a triangle: _________________

Explanation:

Step1: State parallelogram area formula

The area of a parallelogram is calculated as base multiplied by height, so the formula is $A = b \times h$.

Step2: State triangle area formula

A triangle formed by splitting a parallelogram has half its area, so the formula is $A = \frac{1}{2} \times b \times h$.

Step3: Calculate first parallelogram area

Use $b=4\ \text{m}$, $h=12\ \text{m}$:
$A = 4 \times 12 = 48\ \text{m}^2$

Step4: Calculate first triangle area

Take half the parallelogram area:
$A = \frac{1}{2} \times 48 = 24\ \text{m}^2$

Step5: Calculate second parallelogram area

Use $b=15\ \text{cm}$, $h=8\ \text{cm}$:
$A = 15 \times 8 = 120\ \text{cm}^2$

Step6: Calculate second triangle area

Take half the parallelogram area:
$A = \frac{1}{2} \times 120 = 60\ \text{cm}^2$

Answer:

Formula for Parallelogram: $A = b \times h$
Formula for Triangle: $A = \frac{1}{2} \times b \times h$
Area of first parallelogram: $48\ \text{m}^2$
Area of triangle in first figure: $24\ \text{m}^2$
Area of second parallelogram: $120\ \text{cm}^2$
Area of triangle in second figure: $60\ \text{cm}^2$