The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundreth.

Respuesta :

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