Math

The area of a rectangle is 220 square centimeters. The height of the rectangle is two more than twice the base. What is the rectangle's perimeter?

I know you can solve this employing a guess-and-check strategy, but I want to know if this can be solved algebraically.

So far, I've performed every substitution under the sun; I keep arriving at contradictory deductions.

let the base be b, let the height be h

then it says.. h = 2b + 2

area of rectangle is base*height
b(2b+2)= 220
b^2 + 2b - 220 = 0

Do you know how to solve a quadratic?

my equation should have said

2b^2 + 2b - 220 = 0

it comes out to an integer value of b

Eureka. Sometimes we can't see the forest for the trees. Thank you immensely.

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asked by Chadd

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