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McGraw-Hill Math Grade 7 Answer Key Lesson 18.4 Perimeter
Exercises
SOLVE
Question 1.
Which has a longer perimeter, a triangle with sides of 26 feet or a hexagon with sides of 18 feet?
Answer:
Hexagon has a longer perimeter than a triangle with sides of 26 feet.
Explanation:
Side of triangle = 26 feet.
Perimeter of triangle = Side of triangle + Side of triangle+ Side of triangle
=26 + 26 + 26
= 52 + 26
= 78 feet.
Side of hexagon = 18 feet.
Perimeter of hexagon = 6 × Side of hexagon
= 6 × 18
= 108 feet.
Question 2.
If Trent walks east for 25 feet, then north for 30 feet, then west for 25 feet, how long would he have to walk to get to his starting point and how long did he walk in total?
Answer:
Total number of feet Trent walks in all = 110.
Explanation:
Number of feet Trent walks east = 25.
Number of feet Trent walks north = 30
Number of feet Trent walks west = 25.
Number of feet Trent walks south = 30.
Total number of feet Trent walks in all = Number of feet Trent walks east + Number of feet Trent walks west + Number of feet Trent walks north + Number of feet Trent walks south
= 25 + 30 + 25 + 30
= 55 + 25 + 30
= 80 + 30
= 110.
Question 3.
If you have a 120-foot piece of fencing wire, how long would each side of a square-shaped corral be if all the fencing is used?
Answer:
Each side of square- shaped corral would be 30 feet if all the fencing is used.
Explanation:
Number of feet is the piece of fencing wire = 120.
Perimeter of square-shaped corral = 4 × side of square- shaped corral
=> 120 = 4 × side of square- shaped corral
=> 120 ÷ 4 = side of square- shaped corral
=> 30 = side of square- shaped corral
Question 4.
If you want to put a ribbon around a rectangular box with sides of 5 and 10 inches, how much ribbon would you need?
Answer:
Perimeter of the rectangular box = 30 inches.
Explanation:
Length of the rectangular box = 10 inches.
Width of the rectangular box = 5 inches.
Perimeter of the rectangular box = 2 (Length of the rectangular box + Width of the rectangular box)
= 2 (10 + 5)
= 2 × 15
= 30.
Question 5.
What is the perimeter of the figure shown?
Answer:
Perimeter of the given figure = 72 feet.
Explanation:
Length of first side of the given figure = 20 feet.
Length of second side of the given figure = 15 feet.
Length of third side of the given figure = 22 feet.
Length of fourth side of the given figure = 15 feet.
Perimeter of the given figure = Length of first side of the given figure + Length of second side of the given figure + Length of third side of the given figure + Length of fourth side of the given figure
= 20 + 15 + 22 + 15
= 35 + 22 + 15
= 57 + 15
= 72 feet.