Question

Find the area of a rectangle whose Length= \[24\]cm; Breath= \[180\]mm.

Answer 1

Hint: To solve this problem we must choose the area of the rectangle along with proper understanding of properties and dimensions of the rectangle that is being provided in the question.

Complete step-by-step solution:
Given the,
Length of the rectangle \[l = 24cm\]
Breadth of the rectangle \[b = 180mm\]

Now since both the given dimensions are in different units, first we convert the unit of length as a unit of breadth or the unit of breadth as a unit of length.
Now we know \[1cm = \dfrac{1}{{10}}mm\], hence we can write
The breadth of the rectangle will be
 \[ b = \dfrac{{180}}{{10}}cm \\
   \Rightarrow b = 18cm \]
Now we will find the area of the rectangle which is the product of the sides of the rectangle given by the formula
\[A = l \times b\]
Hence by substituting the value of the dimensions of the rectangle, we get
\[
  A = l \times b \\
   \Rightarrow A = 24cm \times 18cm \\
   \Rightarrow A = 432c{m^2} \]
Hence the area of the rectangle is \[ = 432c{m^2}\]

Note: When the two different dimensions are not same then we need to convert then as same units as it will give wrong answer, the conversion is to be done as required in the solution to convert the unit of length
\[1cm = \dfrac{1}{{10}}mm\]
\[1mm = \left( {1 \times 10} \right)cm\]