Question

The length of a rectangle is 4 4 times the width. The area is 64 64 square centimeters. Find the length and width of the rectangle.

Answer 1

Width of a rectangle = 4 cm

Length of a rectangle = 16 cm

Explanation:

Let width of a rectangle be
`x` cm.

The length of a rectangle is 4 times the width.

Length of a rectangle
`=4x` cm

Area of rectangle
`=64` square centimeters.

Also,

Area of rectangle = length × breadth

`64=4x(x)\\64=4x^2\\16=x^2`

±
`x=4`

Being a dimension,
`x` can not be negative.

So,

`x=4` cm

Width of a rectangle = 4 cm

Length of a rectangle = 4(4) =16 cm