Answer:
So the breadth of the rectangle is y= 3.39 inches
And the length is = x= 4y= 4* 3.39= 13.56 inches
Step-by-step explanation:
Let the length of the rectangle be given by x and the breadth be defined by y.
Then according to the area of rectangle
Area= Length * breadth
But length is 4 times its width so x= 4y
Therefore putting the values
Area= Length * breadth
46= x*y
46= 4y*y
46/4= y²
or
y ²= 11.5
Now taking the square root of both sides we get
y= √11.5=3.39116 inches
So the breadth of the rectangle is y= 3.39 inches
And the length is = x= 4y= 4* 3.39= 13.56 inches