Length is 8 m and width is 4 m.
Step-by-step explanation:
Given,
The area of the rectangular table = 35 sq m
Sum of its dimensions = 12 m
To find the length and width of the table.
Let, the length and width of the table is l and b respectively.
As per the problem,
lb = 35 and l+b = 12
Formula
(a-b)² = (a+b)²-4ab
Now,
(l-b)² = (l+b)²-4lb
= (12)²-4×35 = 4
so, (l-b) = 2
Now we will solve l+b = 12 and l-b = 4
By adding we get,
l+b+l-b = 12+4
or, 2l = 16
or, l = 8
And b= 12-l = 12-8 = 4
Hence,
Length is 8 m and width is 4 m.
