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what is the area of this figure? 7 km 9 km 8 km 22 km 5 km 9 km 8 km 24…

Question

what is the area of this figure? 7 km 9 km 8 km 22 km 5 km 9 km 8 km 24 km square kilometers

Explanation:

Step1: Divide the figure into three rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has length \(7\) km and width \(22 - 5-8=9\) km. The area formula for a rectangle is \(A = l\times w\). So, \(A_1=7\times9 = 63\) \(km^{2}\).

Step3: Calculate the area of the second rectangle

The second rectangle has length \(7 + 8=15\) km and width \(5\) km. Using the area formula \(A = l\times w\), we get \(A_2=(7 + 8)\times5=15\times5 = 75\) \(km^{2}\).

Step4: Calculate the area of the third rectangle

The third rectangle has length \(9\) km and width \(8\) km. Using the area formula \(A = l\times w\), we get \(A_3=9\times8=72\) \(km^{2}\).

Step5: Sum up the areas of the three rectangles

The total area \(A=A_1 + A_2+A_3\). So, \(A = 63+75 + 72\).

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Answer:

\(210\)