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

Answer:

Width of a rectangle = 4 cm

Length of a rectangle = 16 cm

Step-by-step 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