SOLUTION: Find the dimensions of a rectangle whose area is 216 cm2 and whose perimeter is 60 cm

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Question 752687: Find the dimensions of a rectangle whose area is 216 cm2 and whose perimeter is 60 cm
Found 2 solutions by MathLover1, tommyt3rd:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
given:
area is and
perimeter is
if the length is and the width is , then
......eq.1 and
.....eq.2
__________________________
start with .....eq.2 and solve for


.....plug it in eq. 1 and solve for
......eq.1

or
....use quadratic formula







solutions;



or




now find

if => =>
if => =>
since the length is usually greater we will say that and



Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!




therefore





l=12 or l=18

so l=12 and w=18


:)

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