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.

Question

asked Sep 24, 2022 45.8k views

1 Answer

Ismoh · Answer 1 · 2022-09-28T18:41:09+0000

Answer:

Width of a rectangle = 4 cm

Length of a rectangle = 16 cm

Explanation:

Let width of a rectangle be
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,
can not be negative.

So,

x=4 cm

Width of a rectangle = 4 cm

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