a.
To find perimeter of
a.
Answer to Problem 30PPS
Perimeter is 36 meters
Explanation of Solution
Given information:
Calculation:
Perimeter = sum of all sides
Substituting values,
Perimeter=
Hence perimeter is 36 meters
b.
To find the area
b.
Answer to Problem 30PPS
area is 27m.
Explanation of Solution
Given information:
Base is 6m
Height is 9m
Formula used:
Calculation:
Substituting values,
Area=
Solving,
Area=
Hence, area is 27m.
c.
To find the effect on area and perimeter
c.
Answer to Problem 30PPS
Area is increased 4 times.
Perimeter is doubled.
Explanation of Solution
Given information:
Lengths are doubled.
Calculation:
New lengths are 30, 18, 24 m
New perimeter=
Solving,
New perimeter= 72
Hence, perimeter is doubled.
New area=
Solving,
New area=
So,
area is 108
Comparing areas,
Area is increased 4 times.
d.
To find the effect on area and perimeter.
d.
Answer to Problem 30PPS
Area is decreased 9 times.
Perimeter is decreased 3 times.
Explanation of Solution
Given information:
Lengths are decreased 3 times.
Calculation:
New Perimeter =
Solving,
New perimeter=
So,
new perimeter=12
Hence, perimeter is decreased 3 times.
Now
New area=
Solving,
New area=
Hence new area is 3. Now comparing,
Area1 is 27.
Area2 is 3
Hence area is decreased 9 times.
Chapter 1 Solutions
Glencoe Geometry
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