Let, Length of rectangular floor = L
Let, Width of rectangular floor = W
As per 1st condition, we get;
Perimeter = 200
apply formula of perimeter and we get;
2 ( L + W ) = 200 ..............(1)
And, as per 2nd condition, we get;
L = 4W ...........(2)
put the values of ' L' from (2) into (1) and we get;
2 (4W + W) = 200
solve parenthesis and we get
2 * 5W = 200
10W = 200
divide both sides by 10 and we get
W = 20
Now, put the value of B into (2) and we get;
L = 4 * 20 = 80
so Length of rectangular plot = 80 feet
and Width of rectangular plot = 20 feet |