Question

question 6
find the perimeter and area of the figure pictured below.
2
10
3
8
image description
perimeter:
area =
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Explanation:

Step1: Calculate Perimeter

The figure is a composite shape, but for perimeter, we can use the concept that the perimeter of such an L - shaped figure is equal to the perimeter of a rectangle with length 10 and width 8 (by translating the inner sides). The formula for the perimeter of a rectangle is \(P = 2\times(l + w)\), where \(l = 10\) and \(w = 8\).
\(P=2\times(10 + 8)=2\times18 = 36\)

Step2: Calculate Area

We can divide the L - shaped figure into two rectangles. One rectangle has dimensions \(2\times10\) and the other has dimensions \((8 - 2)\times3\).
First rectangle area: \(A_1=2\times10 = 20\)
Second rectangle area: \(A_2=(8 - 2)\times3=6\times3 = 18\)
Total area \(A = A_1+A_2=20 + 18=38\)

Answer:

Perimeter: \(36\)
Area: \(38\)