SOLUTION: Hello! The length of a diagonal of a rectangle is given by D=square root L^2+W^2, where L and W are the length and width of the rectangle. What is the length of the diagonal, D,

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Question 335679: Hello!
The length of a diagonal of a rectangle is given by D=square root L^2+W^2, where L and W are the length and width of the rectangle. What is the length of the diagonal, D, of a rectangle that is 69 inches and 28 inches wide? Round your answer to the nearest tenth of an inch if necessary.

Thanks!

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
D=sqrt%28L%5E2%2BW%5E2%29 Start with the formula for the diagonal of a rectangle.


D=sqrt%28%2869%29%5E2%2B%2828%29%5E2%29 Plug in L=69 and W=28.


D=sqrt%284761%2B%2828%29%5E2%29 Square 69 to get 4761.


D=sqrt%284761%2B784%29 Square 28 to get 784.


D=sqrt%285545%29 Add 4761 to 784 to get 5545.


D=74.4647567645259 Take the square root of 5545 to get 74.4647567645259 (this value is approximate).


D=74.5 Round to the nearest tenth.


So a rectangle with a length of 69 inches and a width of 28 inches has a diagonal length of about 74.5 inches.