Question: What is the area of this figure? [asy]…

What is the area of this figure?

[asy] fill((0,0)—(14,0)—(14,6)—(8,6)—(8,3)—(0,3)—cycle,lightblue); draw((0,0)—(14,0)—(14,6)—(8,6)—(8,3)—(0,3)—cycle); label(“14 mi”,(7,0),S); label(“6 mi”,(14,3),E); label(“8 mi”,(4,6),N); label(“3 mi”,(0,1.5),W); label(“3 mi”,(4,4.5),W); label(“6 mi”,(11,6),N); [/asy]

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Solution

To find the area of the given figure, we can divide it into two rectangles. First, calculate the area of the larger rectangle: The dimensions of the larger rectangle are 14 miles long and 3 miles wide. \[ \text{Area of larger rectangle} = 14 \times 3 = 42 \text{ square miles} \] Next, calculate the area of the smaller rectangle: The dimensions of the smaller rectangle are 6 miles long and 3 miles wide. \[ \text{Area of smaller rectangle} = 6 \times 3 = 18 \text{ square miles} \] Add the areas of the two rectangles to get the total area of the figure: \[ \text{Total area} = 42 + 18 = 60 \text{ square miles} \] The area of the figure is 60 square miles.