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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.

Sagot :

Answer:

Width of a rectangle = 4 cm

Length of a rectangle = 16 cm

Step-by-step explanation:

Let width of a rectangle be [tex]x[/tex] cm.

The length of a rectangle is 4 times the width.

Length of a rectangle [tex]=4x[/tex] cm

Area of rectangle [tex]=64[/tex] square centimeters.

Also,

Area of rectangle = length × breadth

[tex]64=4x(x)\\64=4x^2\\16=x^2[/tex]

± [tex]x=4[/tex]

Being a dimension, [tex]x[/tex] can not be negative.

So,

[tex]x=4[/tex] cm

Width of a rectangle = 4 cm

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

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