Algebra 2 HN

Question

The minimum depth, d, in inches of a beam to support a load s pounds is given by the formula. Where l is the length and w is the width of the beam, both in feet.

A.Find the depth of the beam if the beam weighs 288 pounds, and is 10 feet long and 3 feet wide. Leave your answer in simplest radical form. Show your work.

B.Solve for the width of the beam using d=√sl/576w 

d=square root of sl/576w

Answer 1

If d = (sl/576w)^1/2

 

d = (288*10/576*3)^1/2 

 

performing repeated divisions using factors of 2, and 3 in numerator and denominator gives d = (5/3)^1/2

 

 

therefore d = sqr.rt. (5/3)