Question 1196633: a notebook has an area of 150m² and a perimeter of 50cm. what are the dimensions of the notebook Found 2 solutions by Theo, greenestamps:Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! l * w = 150
2l + 2w = 50
solve for l in the first equation to get:
l = 150/w
replace l in the second equation with that to get:
2*150/w + 2w = 50
simplify to get:
300/w + 2w = 50
multiply both sides of the equation by w to get:
300 + 2w^2 = 50w
divide both sides of the equation by 2 to get:
150 + w^2 = 25w
subtract 25w from both sides of the equation and reorder the terms in descenng order of degree to get:
w^2 - 25w + 150 = 0
factor to get:
(w-10) * (w-15) = 0
solve for w to get:
w = 10 or w = 15
when w = 10, l = 150/10 = 15
when w = 15, l = 150/15 = 10
dimensions of the notebook are 10 by 15 or 15 by 10, however you want to look at it.
