# 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.

1. 👍 0
2. 👎 0
3. 👁 55

## Similar Questions

1. ### math

a rectangle is 4 times as long as it is wide. a second rectangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 530 square centimeters greater than the first. what are the

asked by tony on January 15, 2011
2. ### algebra

a rectangle is 4 times as long as it is wide. a second triangle is 5 centimeters longer and 2 centimeters wider than the first. the area of the second rectangle is 270 square centimeters greather than the first. what are the

asked by sabrina on June 3, 2008
3. ### Math

The combined area of a square and a rectangle is 124 square centimeters. The width of the rectangle is 4 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its

asked by John on September 27, 2017

Suppose rectangles X and Y are similar. The dimensions of rectangle X are 5 centimeters by 7 centimeters. The area of rectangle Y is 140 square centimeters. What are the dimensions of rectangle Y?

asked by DIANE on November 1, 2009
5. ### Width of a square

A rectangle has an area of 45 square centimeters and a length of 10 centimeters. What is the width of the rectangle? 55 centimeters 35 centimeters 4.5 centimeters 3.5 centimeters (my answer)

asked by Sara on October 31, 2014
6. ### Algebra

The length of a rectangle is 8 centimeters less than three times its width. Its area is 35 square centimeters. Find the dimensions of the rectangle

asked by Anonymous on April 29, 2018
7. ### Math

The length of a rectangle is 5 centimeters less than three times it's width . It's area is 12 square centimeters. Find the dimensions of the rectangle

asked by Beulah Anderson on November 12, 2014
8. ### math

the length of a rectangle is 23 centimeters less than five times its width. Its area is 42 square centimeters. Find the dimensions of the rectangle

asked by Leticia on April 19, 2016
9. ### algebra

sooo confusing... 6. (¼ + 7/8)(9/13) A81/13 B17/104 C81/104 D17/29 E17/13 F17/25 7. [6(2+1) -6(1+1)] / [6(4-2) - 22 ] A3/2 B3/4 C3/5 D3 E1/3 F2/3 8. -3(y – 5) - (-2y + 1) A-y +14 B5y - 4 C-5y + 14 D-13y E-5y -6 F-y – 4 For

asked by whitney on September 8, 2010
10. ### math

A RECTANGLE HAS A WIDTH OF X CENTIMETERS AND A PERIMETER OF 8X CENTIMETERS. A SQUARE HAS SIDES OF LENGTH 1/4 THAT OF THE RECTANGLE A) FIND THE LENGTH OF THE RECTANGLE B) FIND THE PERIMETER OF THE SQUARE C) FIND HOW MANY

asked by hi on February 25, 2013

More Similar Questions