2 answers:
<h2>54 units²</h2><h2 />
This is a compound shape. You can split it into x shapes. See Attachment
- Rectangle - Red
Area of a Rectangle = L × B
L = 7
B = 6
7 × 6 = 42
<h3>42 units²</h3>- Triangle - Orange
Area of a Triangle = 1/2BH
B = 6
H = 1
1/2 × 6 × 1 = 3
<h3>3 units²</h3>- Triangle - Green
Area of a Triangle = 1/2BH
B = 3
H = 2
1/2 × 3 × 2 = 3
<h3>3 units²</h3>- Triangle - Blue
Area of a Triangle = 1/2BH
B = 2
H = 6
1/2 × 2 × 6 = 6
<h3>6 units²</h3><h3 /><h3>42 + 6 + 3 + 3 = 54</h3>You might be interested in
Answer:
I) f + g = 10/3
II) 4f + 2g = 20/3
III) f = 2 and g = 4/3
Step-by-step explanation:
From the chart,
P = 25
q = 40
The total number of one centimeter lines in the first n diagrams is given by the expression
2/3n^3 + fn^2 + gn.
When n = 1, the total number of line = 4. So,
2/3(1)^3 + f(1)^2 + g(1) = 4
2/3 + f + g = 4
Make f+g the subject of formula
f + g = 4 - 2/3
f + g = (12 - 2)/3
f + g = 10/3 ......(1)
When n = 2
Total number of line = 12
2/3(2)^3 + f(2)^2 + g(2) = 12
2/3×8 + 4f + 2g = 12
16/3 + 4f + 2g = 12
4f + 2g = 12 - 16/3
4f + 2g = (36 - 16)/3
4f + 2g = 20/3 ......(2)
(iii) To find the values of f and g, solve equation 1 and 2 simultaneously
f + g = 10/3 × 2
4f + 2g = 32/3
2f + 2g = 20/3
4f + 2g = 32/3
- 2f = - 12/3
f = 12/6
f = 2
Substitutes f in equation 1
f + g = 10/3
2 + g = 10/3
g = 10/3 - 2
g = (10 - 6)/3
g = 4/3
