Question

what is the area of this figure? if necessary, round your answer to the nearest hundredth. square kilometers

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has length $25$ km and width $6$ km. The area formula for a rectangle is $A = l\times w$. So, $A_1=25\times6 = 150$ km².

Step3: Calculate the area of the second rectangle

The second rectangle has length $7$ km and width $7$ km. So, $A_2 = 7\times7=49$ km².

Step4: Calculate the area of the third rectangle

The third rectangle has length $6$ km and width $4$ km. So, $A_3=6\times4 = 24$ km².

Step5: Calculate the total area

The total area $A$ of the figure is the sum of the areas of the three rectangles, $A=A_1 + A_2+A_3=150 + 49+24=223$ km².

Answer:

$223$