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,

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) (Show Source): You can put this solution on YOUR website!
Start with the formula for the diagonal of a rectangle.

Plug in and .

Square to get .

Square to get .

Add to to get .

Take the square root of to get (this value is approximate).

Round to the nearest tenth.

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