Question

pre algebra #7
exercises: find the perimeter of each parallelogram below:
1.)
4 in
2.)
7 ft
3 ft
3.)
14 2/3 cm
12 1/3 cm
p =
p =
p =
4.)
17 cm
11 cm
5.)
2.3 mm
8.2 mm
6.)
2 1/2 yd.
p =
p =
p =
find the perimeter for each rectangle
described below:
find the perimeter of each
square described below:

Explanation:

1. Parallelogram (all sides equal in pairs)

Step1: Formula for perimeter of parallelogram

The formula for the perimeter \(P\) of a parallelogram is \(P = 2(a + b)\), where \(a\) and \(b\) are the adjacent sides.

Step2: Calculate for each parallelogram

• 1) \(a=b = 4\) in. \(P=2(4 + 4)=16\) in.
• 2) \(a = 7\) ft, \(b = 3\) ft. \(P=2(7+3)=20\) ft.
• 3) \(a = 14\frac{2}{3}=\frac{44}{3}\) cm, \(b = 12\frac{1}{3}=\frac{37}{3}\) cm. \(P = 2(\frac{44}{3}+\frac{37}{3})=2\times\frac{81}{3}=54\) cm.
• 4) \(a = 17\) cm, \(b = 11\) cm. \(P=2(17 + 11)=56\) cm.
• 5) \(a = 8.2\) mm, \(b = 2.3\) mm. \(P=2(8.2+2.3)=21\) mm.
• 6) \(a=b = 2\frac{1}{2}=\frac{5}{2}\) yd. \(P=2(\frac{5}{2}+\frac{5}{2})=10\) yd.

2. Rectangle

Step1: Formula for perimeter of rectangle

The formula for the perimeter \(P\) of a rectangle is \(P=2(l + w)\), where \(l\) is length and \(w\) is width.

Step2: Calculate for each rectangle

• 1) \(l = 8\) yd, \(w = 4\) yd. \(P=2(8 + 4)=24\) yd.
• 2) \(l = 3\frac{1}{2}=\frac{7}{2}\) mi, \(w = 2\) mi. \(P=2(\frac{7}{2}+2)=2\times\frac{11}{2}=11\) mi.
• 3) \(l = 7.5\) ft, \(w = 5.5\) ft. \(P=2(7.5+5.5)=26\) ft.

3. Square

Step1: Formula for perimeter of square

The formula for the perimeter \(P\) of a square is \(P = 4s\), where \(s\) is the side - length.

Step2: Calculate for each square

• 1) \(s = 18\) in. \(P=4\times18 = 72\) in.
• 2) \(s = 5\) ft. \(P=4\times5=20\) ft.
• 3) \(s = 3.3\) cm. \(P=4\times3.3 = 13.2\) cm.

Answer:

1. \(16\) in.
2. \(20\) ft.
3. \(54\) cm.
4. \(56\) cm.
5. \(21\) mm.
6. \(10\) yd.
7. \(24\) yd.
8. \(11\) mi.
9. \(26\) ft.
10. \(72\) in.
11. \(20\) ft.
12. \(13.2\) cm.