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Answer 1 · 2017-02-25T04:49:32

Width: #W = 7 ft#

Length: #L = 9 ft#

Perimeter is defined as:

#P = 2L + 2W#

Given: #P = 32ft#

Given: #L = W + 2

Substitute for #P# and #L# in the equation.

#32 = 2(W + 2) + 2W#

#32 = 2W + 4 + 2W#

#32 = 4W + 4#

Subtract 4 from both sides:

#28 = 4W# divide both sides by 4.

#7 = W# or #W = 7#

From above: #L= W + 2#

#L = 7 + 2#

#L = 9#

Check using the perimeter equation:

#32 = 2 xx 9 + 2 xx 7#
#32 = 18 + 14 = 32#