Question

4.5 finding composite perimeter and area
find the approximate area of the state of nevada pictured below.
the area of nevada is approximately mi²

Explanation:

Step1: Divide into shapes

Divide the figure into a rectangle and a triangle. The rectangle has length $483$ mi and width $320$ mi. The triangle has base $405$ mi and height $320$ mi.

Step2: Calculate rectangle area

The area formula for a rectangle is $A_{rect}=l\times w$. So, $A_{rect}=483\times320 = 154560$ square - miles.

Step3: Calculate triangle area

The area formula for a triangle is $A_{tri}=\frac{1}{2}\times b\times h$. So, $A_{tri}=\frac{1}{2}\times405\times320=405\times160 = 64800$ square - miles.

Step4: Calculate total area

The total area $A = A_{rect}+A_{tri}$. So, $A=154560 + 64800=219360$ square - miles.

Answer:

$219360$