a new unit equal of length is equal to 10 M the area of a m square expressed in term of new unit has a magnitude of
(1) 0.05
(2) 0.50
(3) 5.05
(4) 5.00
To find the area of a square in terms of the new unit, we need to convert the side length of the square from meters to the new unit.
Given that the length of the new unit is equal to 10 meters, we can find the conversion by dividing the side length of the square by the length of the new unit:
Side length of the square in the new unit = (Side length of the square in meters) / (Length of the new unit)
= a m / 10 m
= a/10
Now, let's calculate the area of the square in the new unit using the converted side length:
Area of the square = (Side length of the square in the new unit)^2
= (a/10)^2
= a^2/100
From the given answer options, we need to simplify the expression a^2/100 to find the correct magnitude.
Option (1) 0.05 = 5/100
Option (2) 0.50 = 50/100
Option (3) 5.05 is not related to the calculation.
To simplify the expression, we notice that a^2/100 can also be represented as (a/10)^2. From the given information, we know that a/10 is the side length of the square in the new unit.
Hence, the magnitude of the area of the square in the new unit is equivalent to the square of the side length of the square in the new unit.
Therefore, the correct answer is option (2) 0.50.