a.
To find which side is shortest.
a.
Answer to Problem 5.3.5P
Side a is shortest.
Explanation of Solution
Given information:
Triangular carpet
Side second is 2 ftlonger than a
Side third is 2 ftlonger than b
Maximum perimeter is 20 ft
Calculation:
Triangular carpet side one=a
Triangular carpet side second, b=a+2
Triangular carpet side third, c=b+2
Substituting value of b=a+2 in c
Then, c=a+4 As side a is shortest because side b is 2 ftlonger than a and side c is 4 ftlonger than a.
b.
To explain about shortest length.
b.
Answer to Problem 5.3.5P
The shortest side will be less than or equal to
Explanation of Solution
Given information:
Triangular carpet
Side second is 2 ftlonger than a
Side third is 2 ftlonger than b
Maximum perimeter is 20 ft
Formula used:
Perimeter of
Where a, b and c are sides of triangle
Calculation:
Triangular carpet side one=a
Triangular carpet side second, b=a+2
Triangular carpet side third, c=b+2
Substituting value of b=a+2 in c
Then, c=a+4 As side a is shortest because side b is 2 ftlonger than a and side c is 4 ftlonger than a.
Substituting the values of a, b and c in the formula
Perimeter of triangle=a+a+2+a+4=3a+6
As maximum perimeter=20 Inequality
Subtracting 6 both sides of inequality
On solving,
Dividing by 3 both sides of inequality
On solving,
Hence, the shortest side will be less than or equal to
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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