Question

1. polygon area (show work)

find the area of the following figures.
a)
area:
c)
area:

Explanation:

Step1: Recall the formula for the area of a parallelogram

The area formula for a parallelogram is \(A = b\times h\), where \(b\) is the base and \(h\) is the height.
For part (a), the base \(b = 9\ \text{cm}\) and the height \(h=4\ \text{cm}\).

Step2: Calculate the area of the parallelogram

Substitute the values into the formula: \(A = 9\times4=36\ \text{cm}^2\)

Step3: Recall the formula for the area of a rectangle

The area formula for a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width.
For part (c), the length \(l = 10\) and the width \(w = 6\)

Step4: Calculate the area of the rectangle

Substitute the values into the formula: \(A=10\times6 = 60\)

Answer:

a) \(36\ \text{cm}^2\)
c) \(60\)