Question

name:
sheet 1
perimeter
find the perimeter of each shape.
1)
perimeter =
2)
perimeter =
3)
perimeter =
4)
perimeter =
5)
perimeter =
6)
perimeter =
7)
perimeter =
8)
perimeter =
9)
perimeter =
10)
perimeter =
11)
perimeter =
12)
perimeter =
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Explanation:

Step1: Determine the side - length of each small square

Since each small square has a side - length of \(1\) inch.

Step2: Count the number of side - lengths around the perimeter for each shape

1. For the first shape (a rectangle with length \(7\) inches and width \(4\) inches):

The perimeter formula for a rectangle is \(P = 2(l + w)\). Here \(l = 7\) and \(w = 4\).
\(P=2\times(7 + 4)=2\times11 = 22\) inches.

1. For the second shape (a rectangle with length \(6\) inches and width \(4\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 6\) and \(w = 4\).
\(P=2\times(6 + 4)=2\times10 = 20\) inches.

1. For the third shape (a rectangle with length \(4\) inches and width \(3\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 4\) and \(w = 3\).
\(P=2\times(4+3)=2\times7 = 14\) inches.

1. For the fourth shape (a rectangle with length \(8\) inches and width \(2\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 8\) and \(w = 2\).
\(P=2\times(8 + 2)=2\times10 = 20\) inches.

1. For the fifth shape (a square with side \(3\) inches):

The perimeter formula for a square is \(P = 4s\), where \(s = 3\).
\(P=4\times3=12\) inches.

1. For the sixth shape (a rectangle with length \(3\) inches and width \(2\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 3\) and \(w = 2\).
\(P=2\times(3 + 2)=2\times5 = 10\) inches.

1. For the seventh shape (a rectangle with length \(6\) inches and width \(3\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 6\) and \(w = 3\).
\(P=2\times(6 + 3)=2\times9 = 18\) inches.

1. For the eighth shape (a rectangle with length \(6\) inches and width \(3\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 6\) and \(w = 3\).
\(P=2\times(6 + 3)=2\times9 = 18\) inches.

1. For the ninth shape (a rectangle with length \(5\) inches and width \(4\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 5\) and \(w = 4\).
\(P=2\times(5 + 4)=2\times9 = 18\) inches.

1. For the tenth shape (a rectangle with length \(8\) inches and width \(4\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 8\) and \(w = 4\).
\(P=2\times(8 + 4)=2\times12 = 24\) inches.

1. For the eleventh shape (a rectangle with length \(6\) inches and width \(2\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 6\) and \(w = 2\).
\(P=2\times(6 + 2)=2\times8 = 16\) inches.

1. For the twelfth shape (a rectangle with length \(5\) inches and width \(4\) inches):

Using the formula \(P = 2(l + w)\), with \(l = 5\) and \(w = 4\).
\(P=2\times(5 + 4)=2\times9 = 18\) inches.

Answer:

1. \(22\) inches
2. \(20\) inches
3. \(14\) inches
4. \(20\) inches
5. \(12\) inches
6. \(10\) inches
7. \(18\) inches
8. \(18\) inches
9. \(18\) inches
10. \(24\) inches
11. \(16\) inches
12. \(18\) inches