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 mi.²

Explanation:

Step1: Divide into shapes

The figure can be divided into a rectangle and a triangle.

Step2: Calculate rectangle area

The rectangle has length $483$ mi and width $320$ mi. Area of rectangle $A_{1}=l\times w = 483\times320=154560$ mi².

Step3: Calculate triangle area

The triangle has base $405$ mi and height $320$ mi. Area of triangle $A_{2}=\frac{1}{2}\times b\times h=\frac{1}{2}\times405\times320 = 405\times160 = 64800$ mi².

Step4: Calculate total area

Total area $A = A_{1}+A_{2}=154560 + 64800=219360$ mi².

Answer:

$219360$