Income Calculation: Aku's monthly income: GHC 6,500.00, Brako's: GHC 5,000.00, Dagadu's: GHC 4,200.00. (i)…

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Income Calculation: Aku's monthly income: GHC 6,500.00, Brako's: GHC 5,000.00, Dagadu's: GHC 4,200.00. (i) Calculate yearly income of each worker. (ii) Calculate total income in a year.

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4. (a) Income Calculation

Aku's monthly income: GHC 6,500.00
Brako's monthly income: GHC 5,000.00
Dagadu's monthly income: GHC 4,200.00

(i) Calculate the yearly income of each worker.

Calculate Aku's yearly income.
$\text{Aku's yearly income} = \text{GHC } 6,500.00 \times 12 = \text{GHC } 78,000.00$
Calculate Brako's yearly income.
$\text{Brako's yearly income} = \text{GHC } 5,000.00 \times 12 = \text{GHC } 60,000.00$
Calculate Dagadu's yearly income.
$\text{Dagadu's yearly income} = \text{GHC } 4,200.00 \times 12 = \text{GHC } 50,400.00$
The yearly incomes are:
- Aku: $\boxed{\text{GHC } 78,000.00}$
- Brako: $\boxed{\text{GHC } 60,000.00}$
- Dagadu: $\boxed{\text{GHC } 50,400.00}$
(ii) Calculate the total income of the three workers in a year.
Sum the yearly incomes.
$\text{Total yearly income} = \text{GHC } 78,000.00 + \text{GHC } 60,000.00 + \text{GHC } 50,400.00 = \text{GHC } 188,400.00$
The total income of the three workers in a year is $\boxed{\text{GHC } 188,400.00}$ .

4. (b) Floor Plan Analysis
The diagram shows an L-shaped floor. We first determine the missing dimensions.
The total width is $8 \text{ m}$ . The visible bottom segment is $5 \text{ m}$ . So, the internal horizontal segment is $8 \text{ m} - 5 \text{ m} = 3 \text{ m}$ .
The total height is $5 \text{ m}$ . The visible right segment is $3 \text{ m}$ . So, the internal vertical segment is $5 \text{ m} - 3 \text{ m} = 2 \text{ m}$ .

(i) Find the perimeter.
Add all the side lengths.
$\text{Perimeter} = 8 \text{ m} + 5 \text{ m} + 5 \text{ m} + 2 \text{ m} + 3 \text{ m} + 3 \text{ m}$ $\text{Perimeter} = 26 \text{ m}$
The perimeter is $\boxed{26 \text{ m}}$ .

(ii) Find the area.
Divide the L-shaped floor into two rectangles or subtract a smaller rectangle from a larger one.
Using the subtraction method:
Consider a large rectangle with dimensions $8 \text{ m} \times 5 \text{ m}$ .
The missing rectangular part has dimensions $(8 \text{ m} - 5 \text{ m}) \times (5 \text{ m} - 3 \text{ m}) = 3 \text{ m} \times 2 \text{ m}$ .
$\text{Area of large rectangle} = 8 \text{ m} \times 5 \text{ m} = 40 \text{ m}^2$ $\text{Area of missing part} = 3 \text{ m} \times 2 \text{ m} = 6 \text{ m}^2$
Subtract the area of the missing part from the area of the large rectangle.
$\text{Total Area} = 40 \text{ m}^2 - 6 \text{ m}^2 = 34 \text{ m}^2$
The area is $\boxed{34 \text{ m}^2}$ .

(iii) Find the cost of carpeting the floor if a carpet cost GHC 20.00 per square metre.
Multiply the total area by the cost per square metre.
$\text{Cost of carpeting} = \text{Area} \times \text{Cost per square metre}$ $\text{Cost of carpeting} = 34 \text{ m}^2 \times \text{GHC } 20.00/\text{m}^2 = \text{GHC } 680.00$
The cost of carpeting the floor is $\boxed{\text{GHC } 680.00}$ .

Income Calculation: Aku's monthly income: GHC 6,500.00, Brako's: GHC 5,000.00, Dagadu's: GHC 4,200.00. (i) Calculate yearly income of each worker. (ii) Calculate total income in a year.

Step-by-step solution

Calculate Aku's yearly income.

Calculate Brako's yearly income.

Calculate Dagadu's yearly income.

Sum the yearly incomes.

Add all the side lengths.

Divide the L-shaped floor into two rectangles or subtract a smaller rectangle from a larger one.

Subtract the area of the missing part from the area of the large rectangle.

Multiply the total area by the cost per square metre.

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