Question

question 2 (2 points)
perimeter=______cm
area=______sq cm
blank 1:
blank 2:
question 3

Explanation:

Step1: Calculate the perimeter

The figure can be "transformed" into a rectangle. The length of the rectangle is \(6 + 2+3=11\) cm and the width is \(1 + 2+3 = 6\) cm.
The formula for the perimeter of a rectangle is \(P=2\times(\text{length}+\text{width})\).
So, \(P = 2\times(11 + 6)=2\times17 = 34\) cm.

Step2: Calculate the area

We can divide the figure into three rectangles.

• First rectangle: \(A_1=6\times(1 + 2+3)=6\times6 = 36\) \(cm^2\)
• Second rectangle: \(A_2=(2 + 3)\times2=5\times2 = 10\) \(cm^2\) (subtracting the overlapping part)
• Third rectangle: \(A_3=3\times3=9\) \(cm^2\)

The total area \(A=36+10 + 9=36+19=35\) \(cm^2\)

Answer:

Blank 1: \(34\)
Blank 2: \(35\)