Hi,  

The area of a rectangular plot 24 feet long and 16 feet wide will be doubled 

by adding an equal distanceto each side of the plot.

Question states*** Note: A = l*w

 2(24*16) = (24 + 2x)16

   48 -24 = 2x

    x = 12' the distance added to each side

and

CHECKING our Answer***

   

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
 

The area of a rectangular plot 24 feet long and 16 feet wide will be doubled by adding an equal distance to each side of the plot. What is the distance added to each side?





Area = 24 * 16, or 384 sq ft

Doubling this area makes it 384 * 2, or 768 sq ft





Let distance added to each side of rectangle be D

Then: (24 + D)(16 + D) = 768

















(D + 48)(D - 8) = 0





D, or distance added to each side = - 48 (ignore), or  ft





========

Check

========





(24 + 8) * (16 + 8) = 768





32 * 24 = 768





768 = 768 (TRUE)





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