Question

find the area of the figure picture below.
image of l - shaped figure with dimensions 2, 12, 4, 8
area =
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question 15
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Explanation:

Step1: Split the figure into two rectangles

We can split the L - shaped figure into two rectangles. The first rectangle has dimensions \(2\times(12 - 4)\) (height is \(12-4\) because the total height is 12 and the height of the lower rectangle is 4) and the second rectangle has dimensions \(8\times4\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is given by \(A = l\times w\). For the first rectangle, \(l = 2\) and \(w=12 - 4=8\). So the area \(A_1=2\times8 = 16\).

Step3: Calculate the area of the second rectangle

For the second rectangle, \(l = 8\) and \(w = 4\). So the area \(A_2=8\times4=32\).

Step4: Calculate the total area

The total area of the figure is the sum of the areas of the two rectangles. So \(A=A_1 + A_2=16 + 32=48\).

Answer:

48