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
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
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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.