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yasminothman02
26.04.2020 •
Mathematics
Brianna purchased a box with a base diagonal length that is 45 centimeters long. What are two possible pairs of dimensions for the length and width of the box?
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Ответ:
One pair: Length = 31.82 cm and Width = 31.82 cm
Other pair: Length = 30 cm and Width = 33.54 cm
Step-by-step explanation:
The base of the box has a shape of a rectangle, and to find the length of the diagonal, we can use the pythagoras theorem as follows:
D^2 = L^2 + W^2
Where D is the diagonal, L is the length and W is the width.
If we assume the base of the box to be a square, we can find one pair of dimension:
L = W
D^2 = L^2 + L^2 = 2L^2
D = 1.414*L
D = 45 -> 1.414*L = 45 -> L = 45/1.414 = 31.82 cm
So one pair is length = 31.82 cm and width = 31.82 cm
To find other pair, we can just assume a value for the length, so:
Length = 30 cm
Then we can find the width:
45^2 = 30^2 + W^2
W^2 = 2025 - 900 = 1125
W = 33.54 cm
So the other pair is Length = 30 cm and Width = 33.54 cm
Ответ:
Reflection over the x Axis