Find the area of rectangle whose length is 1m 25cm and width is 70cm

Question

Accepted Answer

The correct option is 3:
To find the area of a rectangle, we recall the formula $Area = Length 	imes Width$.
First, we need to ensure that both the length and width are in the same units. The length is given as 1m 25cm, and the width is 70cm. It is convenient to convert both measurements to meters or centimeters. Since the options include answers in $m^2$, let's convert both to meters.

Step 1: Convert length to meters.
Given length = 1m 25cm.
We know that $1m = 100cm$.
So, $25cm = \frac{25}{100} m = 0.25 m$.
Therefore, Length $(L) = 1m + 0.25m = 1.25m$.

Step 2: Convert width to meters.
Given width = 70cm.
We know that $1m = 100cm$.
So, $70cm = \frac{70}{100} m = 0.70 m$.
Therefore, Width $(W) = 0.70m$.

Step 3: Calculate the area of the rectangle.
Using the formula $Area = L 	imes W$:
$Area = 1.25m 	imes 0.70m$
$Area = 0.875 m^2$.

Thus, the area of the rectangle is $0.875 m^2$.

The incorrect option is 1: $87 m^{2}$. This option is incorrect because it might arise from a calculation error or a misunderstanding of unit conversion (e.g., treating 1m 25cm as 125m and 70cm as 70m, or simply miscalculating).
The incorrect option is 2: $87.5 cm^{2}$. This option is incorrect. If we calculate the area in $cm^2$, it would be $125 cm 	imes 70 cm = 8750 cm^2$. Then, if divided by 100 instead of $100^2$ for $m^2$ conversion, it could lead to an incorrect value. Also, a direct calculation of $87.5 cm^2$ does not result from the given dimensions.
The incorrect option is 4: $8.75 m^{2}$. This option is incorrect. It suggests an error in the decimal placement during multiplication or an incorrect unit conversion, perhaps by multiplying $1.25m 	imes 7m$ or making a mistake when converting centimeters to meters. For instance, if 70cm was incorrectly seen as 7m.