Each rectangle in the diagram measures 3 cm by 6 cm. What is the length, in centimetres, of the longest path from A to B? You may travel in any direction, but no segment may be traced more than once. Show your answer on the diagram below by using arrows to indicate the directions you travel.
Answers
The longest path from A to B is 36 cm.
It is given that each rectangle in the diagram measures 3 m by 6 cm.
It is required to find the longest path from A to B.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We have a rectangle.
Each rectangle's dimensions are 3 cm by 6 cm means:
The width of each rectangle = 3 cm
The length of each rectangle = 6 cm
In the figure, if calculate the total length of the left side that is:
= 6+6+6
=18 cm
And topside width:
=3+6+6+3
=18 cm
We can say we a rectangle having dimensions 18 by 18.
If we travel from any path the total length will be covered from A to B:
= 18 + 18
=36 cm
As per the direction, we can calculate different path distances.
Thus, the longest path from A to B is 36 cm.
Learn more about the rectangle here:
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