How are L, W, and d related? If L is 30 units long and W is 10 units long, how long is the diagonal to the nearest tenth? d = _________ units

To find the diagonal ( d ) of a rectangle, we can use the Pythagorean theorem, which states:

[

d = sqrt{L^2 + W^2}

]

where ( L ) is the length, ( W ) is the width, and ( d ) is the diagonal.

Given:

– ( L = 30 ) units

– ( W = 10 ) units

Now, plug in the values:

1. Calculate ( L^2 ) and ( W^2 ):

– ( L^2 = 30^2 = 900 )

– ( W^2 = 10^2 = 100 )

2. Now add these values:

– ( L^2 + W^2 = 900 + 100 = 1000 )

3. Finally, take the square root to find ( d ):

– ( d = sqrt{1000} approx 31.6 ) units (to the nearest tenth)

So, the diagonal ( d ) is approximately 31.6 units.