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Question

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find the area of the figure below, formed from a triangle and a parallelogram
32 square millimeters
40 square millimeters
20 square millimeters
28 square millimeters

Explanation:

Step1: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A = base\times height\). Here, the base \(b = 6\) mm and the height \(h=4\) mm. So, \(A_{parallelogram}=6\times4 = 24\) square - mm.

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). The base of the triangle \(b = 2\) mm and the height \(h=(8 - 4)=4\) mm. Then \(A_{triangle}=\frac{1}{2}\times2\times4=4\) square - mm.

Step3: Calculate the total area

The total area \(A = A_{parallelogram}+A_{triangle}\). Substitute the values: \(A=24 + 4=28\) square - mm.

Answer:

28 square millimeters