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A rectangle’s base is 1-in shorter than twice its height. The rectangle’s area is 6 in^2. Find this rectangle’s dimensions.

 

The rectangle’s height is.

 

The rectangle’s base is 

 Mar 31, 2021
 #1
avatar+118470 
+1

base  =  2h - 1

height  =  h

 

Area  = base * height

 

6  =  (2h - 1)  * h

 

6  = 2h^2  - h       rearrange  as

 

2h^2  - h -  6   =   0     factor as

 

(2h  + 3) ( h - 2)  =  0

 

The  second  factor set to 0  gives  us what we need

 

h - 2  =  0

 

h  =  2 in

b = 2(2) - 1   =  4 - 1   =  3  in

 

cool cool cool 

 Mar 31, 2021

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