Question

exercises: find the perimeter of the following figures by adding all sides.
1.)
p =
2.)
p =
3.)
p =
4.)
p =
5.)
p =
6.)
p =

Explanation:

1. Triangle (3 ft, 5 ft, 8 ft)

Step1: Add all sides

$P = 3+5 + 8$

Step2: Calculate sum

$P=16$ ft

2. Quadrilateral (2 yd, 8 yd, 10 yd, 8 yd)

Step1: Add all sides

$P=2 + 8+10 + 8$

Step2: Calculate sum

$P = 28$ yd

3. Irregular hexagon (4 cm, 8 cm, 7 cm, 8 cm, 4 cm, 7 cm)

Step1: Add all sides

$P=4+8 + 7+8 + 4+7$

Step2: Calculate sum

$P=(4 + 4)+(8 + 8)+(7 + 7)=8 + 16+14=38$ cm

4. Pentagon (two sides equal, 7, 8, 10)

Assume the two equal - sided lengths are 7 (from the marking).

Step1: Add all sides

$P=7+7 + 8+10+7$

Step2: Calculate sum

$P=(7\times3)+8 + 10=21+18=39$

5. Isosceles triangle ($6\frac{1}{2},6\frac{1}{2},8\frac{3}{4}$)

Convert to decimals: $6.5,6.5,8.75$

Step1: Add all sides

$P=6.5+6.5 + 8.75$

Step2: Calculate sum

$P = 13+8.75=21.75$

6. Irregular figure (using the property that for such L - shaped figures, we can use the perimeter formula of a rectangle with length \(l = 15.1\) and width \(w = 12\))

Step1: Use perimeter formula \(P=2(l + w)\)

$P=2(15.1+12)$

Step2: Calculate

$P=2\times27.1 = 54.2$

Answer:

1. $16$ ft
2. $28$ yd
3. $38$ cm
4. $39$
5. $21.75$
6. $54.2$