2. The length of a rectangle is 4 centimeters less than twice its width. The perimeter
of the rectangle is 34 cm. What are the dimensions of the rectangle?
A length = 9 cm; width = 8 cm
B length = 14 cm; width = 9 cm
OC length = 7 cm; width = 10 cm
D length = 10 cm; width = 7 cm

I found:

length = 10cm

width = 7cm

Step-by-step explanation:

Call the length  l , the width  w  and the perimeter  P ; you get:

l  =  2 w  −  4

P  =  2 l  +  2 w

Where  P  =  34 c m

so, substitute the first into the second for  l :

34  =  2 ( 2 w  −  4 )  +  2 w

34  =  4 w  −  8  +  2 w

6 w  =  42

w  =  42 /6  =  7 c m

use this into the first equation:

l  =  2  ⋅  7  −  4  =  14  −  4  =  10 c m

Hope this helps!

35-60 students are taking math.