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Chapter 1: Problem 12

The length and breadth of a rectangle are \(2 \mathrm{~m}\) and \(5 \mathrm{~m}\) respectively, the area of the rectangle is _____. (1) \(10 \mathrm{~m}^{2}\) (2) \(100000 \mathrm{~cm}^{2}\) (3) \(1 \mathrm{~km}^{2}\) (4) Both (1) and (2)

Short Answer

Expert verified
Select the correct option(s). (1) 10 m² (2) 100000 cm² (3) 1 km² (4) Both (1) and (2) Answer: (4) Both (1) and (2)

Step by step solution

01

Write down the formula for the area of a rectangle

The formula for the area of a rectangle is given as: Area = length × breadth
02

Insert given values to calculate the area

The given values for the length, and breadth of the rectangle are 2m and 5m, respectively. Use the formula to find the area: Area = 2m × 5m
03

Calculate the area in square meters

Multiply the length and breadth to find the area in square meters: Area = 10 m²
04

Convert the area to square centimeters

To convert the area to square centimeters, we need to convert meters to centimeters. There are 100 centimeters in 1 meter, and since we need to convert square meters to square centimeters, we use the factor 100²: Area = 10 m² × (100 cm/m)² = 10 × 10000 cm² = 100000 cm²
05

Compare the calculated areas with the given options

Now, let's compare our calculated area in both square meters and square centimeters to the options provided: (1) 10 m² - This matches our calculated area in square meters. (2) 100000 cm² - This matches our calculated area in square centimeters. (3) 1 km² - This option does not match our results. (4) Both (1) and (2) - This option is correct as it includes both of our calculated areas. Hence, the correct answer is (4) Both (1) and (2).

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