Answer:
length = 14 cm
width = 3 cm
Explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 34 cm
The statement
The length of a rectangle is 8 cm longer than twice the width is written as
l = 8 + 2w
Substitute this expression into the above formula and solve for the width
That's
34 = 2( 8 + 2w) + 2w
34 = 16 + 4w + 2w
6w = 18
Divide both sides by 6
w = 3
Substitute this value into l = 8 + 2w
That's
l = 8 + 2(3)
= 8 + 6
l = 14
The dimensions are
length = 14 cm
width = 3 cm
Hope this helps you