Question

The area of a rectangle is 11.6 m². If its breadth is 46.4 cm, then the perimeter is
(a) 25.464 m (b) 50.928 m (c) 101.856 m (d) None of these

Answer 1

Here, area of rectangle(A) = 11.6 m², breadth(b) = 46.4 cm = 0.464 m.
Let l be the length of the rectangle, then
Area of rectangle = l $\text{×}$ b
= l $\text{×}$ 0.464
Area of rectangle = 11.6
$$\begin{gathered} \Rightarrow l\times 0.464=11.6 \\ \Rightarrow l=\frac{11.6}{0.464}=\frac{11600}{464}=25\mathrm{m} \end{gathered}$$
Now
Perimeter = 2(l + b)
$$\begin{gathered} =2\left(25+0.464\right) \\ =2(25.464) \\ =50.928\mathrm{m} \end{gathered}$$
Hence, the correct option is (b).