A rectangular garden has a length that is five less than twice the width. The garden perimeter is 50 meters. What are the dimensions of the garden?

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Answer 1 · 2017-02-07T04:47:52

Width #"= 10 meters"#
Length #"= 15 meters"#

Given:

Width #= x#

Length #= 2x - 5#

Perimeter #= 50#

#"Perimeter" = 2xx "length" + 2 xx "width"#

Substitute:

#50 = 2(2x - 5) + 2(x)#

Simplify:

#50 = 4x - 10 + 2x#

#50 = 6x - 10#

#60 = 6x#

#x = 10#

Substitute (FINALLY)

Width:

#x = 10#

So width #"= 10 meters"#

Length:

#2x - 5 = 2(10) - 5#

# = 20 - 5 = 15#

So length #"= 15 meters"#