Question

1. find the perimeter and area of the part in figure 28 - 4.

Explanation:

Step1: Calculate the perimeter

The perimeter of the figure is the sum of all its outer - side lengths.

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Step2: Calculate the area

We can divide the figure into two rectangles.
The area of the first rectangle with length \(l_1 = 40\space cm\) and width \(w_1=15\space cm\) is \(A_1 = 40\times15=600\space cm^{2}\)
The width of the second rectangle: \(w_2=40-(15 - 5)=30\space cm\) and length \(l_2 = 23\space cm\)
The area of the second rectangle \(A_2=23\times30 = 690\space cm^{2}\)
The total area \(A=A_1+A_2\)

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Answer:

The perimeter is \(236\space cm\) and the area is \(1290\space cm^{2}\)