SOLUTION: The sum of the squares of the measures of all the sides of a rectangle is 1458. Find the measure of a diagonal of the rectangle. I appreciate your help with this.

Algebra ->  Pythagorean-theorem -> SOLUTION: The sum of the squares of the measures of all the sides of a rectangle is 1458. Find the measure of a diagonal of the rectangle. I appreciate your help with this.      Log On


   

Question 35861This question is from textbook Geometry: Applications and Connections
: The sum of the squares of the measures of all the sides of a rectangle is 1458. Find the measure of a diagonal of the rectangle.
I appreciate your help with this. This question is from textbook Geometry: Applications and Connections

Answer by venugopalramana(3286) About Me  (Show Source):
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The sum of the squares of the measures of all the sides of a rectangle is 1458. Find the measure of a diagonal of the rectangle.
I appreciate your help with this.
IF THE SIDES ARE L AND B THEN SUM OF SQUARES OF ALL SIDES IS
2(L^2+B^2)=1458
L^2+B^2=729=SQUARE OF DIAGONAL=D^2
D=SQRT(729)=27