Length of a rectangular sign :-
![= 3 \frac{1}{2} \: \: m](https://tex.z-dn.net/?f=%20%3D%203%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20%5C%3A%20%20m)
Width of a rectangular sign :-
![= 1 \frac{1}{8} \: \: m](https://tex.z-dn.net/?f=%20%3D%201%20%5Cfrac%7B1%7D%7B8%7D%20%20%5C%3A%20%20%5C%3A%20m)
<h3>We know that :-</h3>
The formula for finding the area of a rectangle is :-
![=\bold{ length \times breadth}](https://tex.z-dn.net/?f=%20%3D%5Cbold%7B%20length%20%5Ctimes%20breadth%7D)
<h3>Which means :-</h3>
The area of the rectangular sign:-
![=3 \frac{1}{2} \times 1 \frac{1}{8}](https://tex.z-dn.net/?f=%20%3D3%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%201%20%5Cfrac%7B1%7D%7B8%7D%20)
![= \frac{(2 \times 3 )+ 1}{2} \times \frac{(8 \times 1) + 1}{8}](https://tex.z-dn.net/?f=%20%20%3D%20%20%5Cfrac%7B%282%20%5Ctimes%203%20%29%2B%201%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B%288%20%5Ctimes%201%29%20%2B%201%7D%7B8%7D%20)
![= \frac{6 + 1}{2} \times \frac{8 + 1}{8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B6%20%2B%201%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B8%20%2B%201%7D%7B8%7D%20)
![= \frac{7}{2} \times \frac{9}{8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B7%7D%7B2%7D%20%20%5Ctimes%20%20%5Cfrac%7B9%7D%7B8%7D%20)
![= \frac{7 \times 9}{2 \times 8}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B7%20%5Ctimes%209%7D%7B2%20%5Ctimes%208%7D%20)
![= \frac{63}{16}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B63%7D%7B16%7D%20)
![={3 \frac{15}{6} \: \: }](https://tex.z-dn.net/?f=%20%3D%7B3%20%5Cfrac%7B15%7D%7B6%7D%20%20%5C%3A%20%20%5C%3A%20%7D)
![= 3 \frac{15 \div 3}{6 \div 3}](https://tex.z-dn.net/?f=%20%3D%203%20%5Cfrac%7B15%20%5Cdiv%203%7D%7B6%20%5Cdiv%203%7D%20)
![={ 3 \frac{5}{2} \: m}](https://tex.z-dn.net/?f=%20%3D%7B%203%20%5Cfrac%7B5%7D%7B2%7D%20%20%5C%3A%20m%7D)
Thus, the area of the rectangular sign is:-
![=\bold{ 3 \frac{5}{2} \: m}](https://tex.z-dn.net/?f=%20%3D%5Cbold%7B%203%20%5Cfrac%7B5%7D%7B2%7D%20%20%5C%3A%20m%7D)
<h3>We can see that :- </h3>
![\bold{3 \frac{5}{2} \: > 3 \: \frac{1}{2} \: }](https://tex.z-dn.net/?f=%5Cbold%7B3%20%5Cfrac%7B5%7D%7B2%7D%20%20%20%5C%3A%20%3E%203%20%5C%3A%20%5Cfrac%7B1%7D%7B2%7D%20%20%5C%3A%20%7D)
Which will mean that the area of the rectangular sign is greater than
.
Therefore, the area of the rectangular sign is =
and it is greater than
.