Time remaining:
quadratic word problems

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

width of triangle is 4ft less than the length. The area is 10ft^2. Find the length and width

Jul 19th, 2014

Let's start with triangle area. The area of a triangle is 1/2 * base * height. In this problem it looks like they use width instead of height but you still have to multiply the two numbers. In order to successfully use the formula, the base and height measurements must have a right angle between them. The problem does not state what type of triangle it is but as long as the width and length lines make a right angle, you can find the area of the triangle. 

We start with w + 4 = L  and Area = 1/2 * w * L. Substitute L for the prev. expression of W and you get:Area = 1/2 * w * (w + 4) = 1/2 * ( w^2 +4w) = 1/2w^2 + 2w = Area. = 10 ft^2. Now subtract 10 from both sides and you get the quadratic  1/2w^2 + 2w - 10 = 0.  Now we can solve for w using the quadratic equation:

(-b +/- squareroot( b^2 - 4*a*c) ) / (2*a)  and so plugging in 1/2 for a, 2 for b, and -10 for c. We thus get:

(-2 +/- squareroot( 2^2 - 4 * 1/2 * -10) ) / (2 * 1/2) , and after evaluating this we get two roots, 2.899 and -6.899. These are the roots for your final answer. If you need more from this problem please contact me .

Jul 20th, 2014

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jul 19th, 2014
...
Jul 19th, 2014
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer