Question

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

Answer 1

I found:

length = 10cm

width = 7cm

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!

Answer 2

D. length = 10 cm; width = 7 cm

100% sure