what is the area of this figure? write your answer using decimals, if necessary. square kilometers

Answer:

49

Explanation:

Step1: Divide into shapes

Divide the figure into a rectangle and a trapezoid.

Step2: Calculate rectangle area

The rectangle has length 6 km and width 5 km. Area of rectangle $A_1 = 6\times5=30$ square - kilometers.

Step3: Calculate trapezoid area

The trapezoid has bases $b_1 = 5$ km, $b_2=5 + 2=7$ km and height $h = 5$ km. Using the trapezoid - area formula $A=\frac{(b_1 + b_2)h}{2}$, we have $A_2=\frac{(5 + 7)\times5}{2}=\frac{12\times5}{2}=30$ square - kilometers. But we made a mistake above. Let's start over.

Divide the figure into three rectangles.

Step1: First rectangle area

The first rectangle on the top has length 3 km and width 6 km. Area $A_1=3\times6 = 18$ square - kilometers.

Step2: Second rectangle area

The middle rectangle has length 5 km and width 5 km. Area $A_2 = 5\times5=25$ square - kilometers.

Step3: Third rectangle area

The bottom rectangle has length 2 km and width 3 km. Area $A_3=2\times3 = 6$ square - kilometers.

Step4: Total area

$A=A_1+A_2+A_3=18 + 25+6=49$ square - kilometers.