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Step-by-step explanation:
(a)Here the rectangle and the square has the same perimeter of 40m.
Perimeter of a square = 4(side length)
40= 4(side)
Hence side length of square is 10 m
Now the diagonal of square is equal to √2 times its side.(d= diagonal)(s=side)
i.e d=s√2
=10√2 = 14.14...
Hence the diagonal is equal to 10√2 or 14.14...
(b) Here is , breadth (B) = and Length (L) of the rectangle.
It is given that B=L-4 (in question)
Now, Perimeter of a rectangle =2(L+B)
40= 2(L+B)
L+B= 20
L+(L-4)= 20 .... Substitute B=L-4
2L-4=20
2L=24
L=12
L+B=20
12+B=20... Substitute L=12
Hence B=8
Therefore
The length of the rectangle is 12 m and breadth is 8 m
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