The length of a rectangle is twice its width. If the area of the rectangle is less than 50 square meters, what is the greatest width of the rectangle?

1 Answer
Nov 5, 2015

Answer:

We'll call this width #=x#, which makes the length #=2x#

Explanation:

Area=length times width, or:

#2x*x<50->2x^2<50->x^2<25->#

#x< sqrt25->x<5#

Answer : the greatest width is (just under) 5 meters.

Note : In pure maths, #x^2<25# would also give you the answer:
#x> -5#, or combined #-5 < x<+5#
In this practical example, we discard the other answer.