Given:
The length of a suitcase is 36 inches.
The diagonal of the suitcase is about 51 inches.
We need to determine the width of the suitcase.
Width of the suitcase:
The width of the suitcase can be determined using the Pythagorean theorem.
Thus, we have;
[tex]d^2=l^2+w^2[/tex]
where d is the diagonal, l is the length and w is the width.
Substituting the values, we get;
[tex]51^2=36^2+w^2[/tex]
Squaring the terms, we have;
[tex]2601=1296+w^2[/tex]
Subtracting both sides by 1296, we get;
[tex]1305=w^2[/tex]
Taking square root on both sides, we get;
[tex]36.12=w[/tex]
Rounding off to the nearest inch, we get;
[tex]36=w[/tex]
Thus, the width of the suitcase is 36 inches.
