Question

Length and breadth of a rectangle are 3.2m and 150cm. Then the area is?

Answer 1

Hint: In this question, we need to find out the area of the rectangle from the given length and breadth. First, we need to find if the length and breadth are in the same unit or not, if not then we need to convert it to any one unit. Then applying the formula of the area of the rectangle we can find the required result.
Formula:
Area of a rectangle = a×b
Where,
a is the length of the rectangle
b is the breadth of the rectangle.
Unit conversion:
\[1m = 100cm\]

Complete step-by-step solution:
It is given that; length and breadth of a rectangle are \[3.2\] m and\[150\] cm.
We know that, \[1m = 100cm\]
Again, \[1cm = \dfrac{1}{{100}}m\]
Thus, we get \[150\]cm =\[\dfrac{{150}}{{100}} = 1.5\]m.
Now the length of the rectangle is a =\[3.2\]m.
The breadth of the rectangle is b =\[1.5\]m.
Now using the formula of the area of a rectangle =a×b \[ = 3.2 \times 1.5 = 4.80c{m^2}\]
Hence the area of the rectangle is \[4.8{m^2}\].

Note: A rectangle is a 2D shape in geometry, having four sides and four vertices. Its two sides meet at right angles. Thus, a rectangle has four angles, each measuring \[90^\circ \]. The opposite sides of a rectangle have the same lengths and are parallel to each other.
Area of the rectangle = Length × breadth
A rectangle has two diagonals, which are line segments connecting the opposite vertices (corners) of the rectangle. Each one is a straight line drawn between the opposite vertices (corners) of the rectangle. The diagonals have the property that the two diagonals are congruent (same length).