To find: the perimeter of the maze
Answer to Problem 18PPS
The perimeter will be 1680 ft.
Explanation of Solution
Given:
Length of diagonal =
Calculation:
Clearly the maze can be viewed as a square with two 45°,45° & 90°
To find the perimeter, first find the measure of the side.
The side will be given by the relation of side of a
In a right angled triangle with angle measures of 45°,45°&90° two legs (a) will be same and the hypotenuse will be given by the term
In the current problem, the triangle is a
The hypotenuse is given by
Thus
Thus the side will be equal to 420 ft.
The perimeter of a square is given by 4a where a is the length of side.
Thus for side of length 420 ft. the perimeter will be equal to
Conclusion:
Thus, the perimeter will be 1680 ft.
Chapter 10 Solutions
Pre-Algebra Student Edition
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