SOLUTION: A rectangle has an area of 162 square inches. The base is twice the height. Find the perimeter.

Question 1014635: A rectangle has an area of 162 square inches. The base is twice the height. Find the perimeter.
Found 2 solutions by FrankM, addingup:
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
B =2H
BH = 162
Substitute 2H from 1st eq into second eq :
2(H^2)=162
H^2=81
H=9 therefore B=18
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
2h*h= 162
2h^2= 162 divide both sides by 2
h^2= 81 take the square root, both sides
h= 9 the height is 9 and the base:
9*2= 18
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Quick check: 18*9= 162
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The perimeter:
2(18)+2(9)= P
36+16= P
P= 52

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