The base of a parallelogram measures 1 m 60 cm and its height is 75 cm. Find its area in `m^(2)` . 

Answer

To find the area of the parallelogram, we will follow these steps:

### Step 1: Convert the measurements to meters
The base of the parallelogram is given as 1 meter 60 centimeters. We need to convert this measurement entirely into meters.

1 meter = 100 centimeters, so:
- 1 meter = 1 m
- 60 centimeters = 60/100 m = 0.60 m

Thus, the base in meters is:
\[ \text{Base} = 1 \, \text{m} + 0.60 \, \text{m} = 1.60 \, \text{m} \]

### Step 2: Convert the height to meters
The height is given as 75 centimeters. We will convert this measurement into meters.

75 centimeters = 75/100 m = 0.75 m

So, the height in meters is:
\[ \text{Height} = 0.75 \, \text{m} \]

### Step 3: Use the formula for the area of a parallelogram
The formula for the area \( A \) of a parallelogram is:
\[ A = \text{Base} \times \text{Height} \]

Substituting the values we found:
\[ A = 1.60 \, \text{m} \times 0.75 \, \text{m} \]

### Step 4: Calculate the area
Now, we will perform the multiplication:
\[ A = 1.60 \times 0.75 = 1.20 \, \text{m}^2 \]

### Final Answer
The area of the parallelogram is:
\[ \text{Area} = 1.20 \, \text{m}^2 \]

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