Answer:
The mean perimeter of frame = 38 cm
Step-by-step explanation:
By perimeter of a rectangle, the formula is given as:
Perimeter of rectangle = 2(A + B)
Going by the illustration in the question, the perimeter is
==> 2(32 + 44) = 152 cm.
However, we a given the mean perimeter of the frame which are:
32 and 44. We can either choose to say; each sides is (32 by 32) and (44 by 44). Or we consider it in mean/average term as given: (32 by 44).
Case 1: To obtain the mean perimeter of the frame using the first scenario, we say:
Mean perimeter = (32+32+44+44)/4 = 38 cm.
Case 2: We can simply say:
Mean perimeter = (32 + 44)/2 = 38 cm.
Graphically: Assuming that the frame is given below
32 cm
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44 cm| | 44 cm
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32 cm
The mean of upper frame/bars = 32 cm
The mean of side frame/bars = 44 cm
Hence, the mean of the perimeter = (32 + 44)/2 = 38 cm
OR,
we take the sum of all the sides (32 + 44 + 32 + 44) and divide by total number of sides (4). That is;
The mean of the perimeter = (32 + 44 + 32 + 44)/4 = 38 cm
