Answer:
length = 22cm
width = 14cm
Explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 308 m²
The length of a rectangle is 6 meters less than twice its width is written as
l = 2w - 6
Substitute this into the above formula and solve for the width
We have
308 = (2w - 6)w
2w² - 6w = 308
2w² - 6w - 308 = 0
Divide both sides by 2
We have
w² - 3w - 154 = 0
( w + 11)( w - 14) = 0
w + 11 = 0 w - 14 = 0
w = - 11 w = 14
Since the width cannot be negative
w = 14
Substitute w = 14 into l = 2w - 6
That's
l = 14(2) - 6
l = 28 - 6
l = 22
Therefore
length = 22cm
width = 14cm
Hope this helps you