Question

Top measures of a table are 3m and 1m 75 cm respectively. Its area in square meters is

• A. 1.25
• B. 4.75
• C. 5.25
• D. 9.5

Hint:

- Area of a rectangle = Length \( \times \) Width. - Ensure all dimensions are in the same unit before calculating the area. If the desired area unit is m\(^2\), convert all lengths to meters. - Conversions: 1 m = 100 cm. So, \( x \text{ cm} = x/100 \text{ m} \).

Answer 1

The Correct Option is C

Step 1: Identify the dimensions of the table top.
The "top measures" likely refer to the length and width of a rectangular table.
Length \( L = 3 \) m.
Width \( W = 1 \) m \( 75 \) cm.

Step 2: Convert all dimensions to the same unit (meters) for area calculation in square meters.
Length \( L = 3 \) m.
Width \( W \): \( 75 \text{ cm} = \frac{75}{100} \text{ m} = 0.
75 \text{ m} \).
So, \( W = 1 \text{ m} + 0.
75 \text{ m} = 1.
75 \text{ m} \).

Step 3: Calculate the area of the rectangular table top.
Area \( A = \text{Length} \times \text{Width} = L \times W \).
\[ A = (3 \text{ m}) \times (1.
75 \text{ m}) \] \[ A = 3 \times 1.
75 \, \text{m}^2 \] Calculation: \( 3 \times 1 = 3 \) \( 3 \times 0.
75 = 3 \times \frac{3}{4} = \frac{9}{4} = 2.
25 \) So, \( A = 3 + 2.
25 = 5.
25 \, \text{m}^2 \).
Alternatively, \( 1.
75 \times 3 \): 1.
75 x 3 ----- 5.
25 The area is \( 5.
25 \) square meters.

Step 4: Compare with options.
This matches option (3).