Question

4.3 area of parallelograms and triangles
find the area of each parallelogram.
a.
7 cm
4 cm
8 cm
b.
8 yards
3 yards
c.
12 yd
12 yd
a. cm²
b. yards²
c. yd²

Explanation:

Step1: Recall area formula for parallelogram

The formula for the area of a parallelogram is $A = b\times h$, where $b$ is the base and $h$ is the height.

Step2: Calculate area of parallelogram a

For the first parallelogram with $b = 8$ cm and $h=4$ cm, we substitute into the formula: $A = 8\times4=32$ $cm^{2}$.

Step3: Calculate area of parallelogram b

For the second parallelogram (a rectangle which is a special - case of parallelogram) with $b = 8$ yards and $h = 3$ yards, $A=8\times3 = 24$ $yards^{2}$.

Step4: Calculate area of parallelogram c

For the third parallelogram (a square which is also a special - case of parallelogram) with $b = 12$ yards and $h = 12$ yards, $A=12\times12=144$ $yards^{2}$.

Answer:

a. $32$ $cm^{2}$
b. $24$ $yards^{2}$
c. $144$ $yards^{2}$