Question

A sari $6m$ long and $1.5m$ wide has a border of width $25cm$ along each of its sides, Find the total area of the border.

Answer 1

Hint: Here we can consider saree as in rectangle shape. Its length and width are different. First we will calculate the area of the saree then the width of the border which can be computed easily. Further subtract the area of the rectangle from saree for getting the area of border.

Complete step-by-step answer:
Given data in the question,
Length of saree, l = 6 m
Width of saree, b = 1.5 m
Width of the border = 25 cm = $\dfrac{{25}}{{100}}m = 0.25m$
We compute area of the saree as,
Area = length $ \times $ breadth
${\text{area of saree = l \times b}}$
$ \Rightarrow 1.5 \times 6 = 9{m^2}$
As we know that border is along all the sides of the saree, and it is forming a right-angle in the sari leaving the border portion.
Also, the total border on both side of saree will be 0.25 $ \times $ 2 = 0.5 m
So we need to subtract 0.5 m to get the remaining width portion will be,
$ \Rightarrow 1.5 - 0.5 = 1m$
Similarly, we need to subtract 0.5 m to get the remaining length portion which will be,
$ = $$6 - 0.50 = 5.5m$
Now, we can calculate the area of this rectangle, as
Area or rectangle = length $ \times $ breadth
 $ = $ $1 \times 5.5 = 5.5{m^2}$
Now, calculate the area of border portion $ = $ area of the sari – area of the rectangle
                              $
   = 9 - 5.5 \\
   = 3.5{m^2} \\
 $

$\therefore $ Total area of the border will be 3.5 square meter.

Note: This question is a good example of the problem taken from areas of the simple shapes like rectangle and square. In such types of problems, always try to compare the things with the shape of geometry and its dimensions. Also, during the computation process we have to give very much care for the units of the measurements. Besides the area and perimeter other important computations in mensuration are volume, surface area and curved surface area etc.