SOLUTION: please help me solve this, find the area of a rectangle whose side is 5 feet and whose diagonal is {{{ sqrt(74)}}}, thankyou

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: please help me solve this, find the area of a rectangle whose side is 5 feet and whose diagonal is {{{ sqrt(74)}}}, thankyou      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 536709: please help me solve this, find the area of a rectangle whose side is 5 feet and whose diagonal is +sqrt%2874%29, thankyou
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
find the area of a rectangle whose side is 5 feet and whose diagonal is +sqrt%2874%29
.
Apply Pythagorean theorem to find the length of the other side:
Let x = length of other side of rectangle
then
x%5E2+%2B+5%5E2+=+%28sqrt%2874%29%29%5E2
x%5E2+%2B+25+=+74
x%5E2+=+49
x+=+sqrt%2849%29
x+=+7+ feet
.
Area then is:
5*7 = 35 square feet