SOLUTION: Find the dimensions of a rug whose perimeter is 42 ft and area is 108 sq.ft.

SOLUTION: Find the dimensions of a rug whose perimeter is 42 ft and area is 108 sq.ft.

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Question 806024: Find the dimensions of a rug whose perimeter is 42 ft and area is 108 sq.ft.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
given:
and

we know that and where and
so, we have
.........eq.1
..........eq.2
________________________________solve this system
.........eq.1........solve for

.....eq.1a.......substitute in eq.2

..........eq.2

......factor

........group

solutions:
if
==>
if ==>
now find the length

.....eq.1a ==>

or
.....eq.1a ==>

so, the dimensions of a rug are: and or vs

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