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?

Question

24980 views around the world

You can reuse this answer
Creative Commons License

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"#