Question

Kylie needs to pack her baton for a color-guard competition. The baton is 38 inches long. Will it fit in a rectangular box with a base of 13 inches by 35 inches and a height of 13 inches?

What is the diagonal??
Also, use the Pythagorean theorem

I really need it ASAP

Answer 1

The baton will not fit in the rectangular box

Explanation:

step 1

Find the diagonal of the base of the rectangular base and then compare with the length of the baton

Applying the Pythagoras Theorem

Let

x ----> the length of the diagonal base of rectangular box

we know that

`x^(2)=13^(2)+35^(2) \\ \\x^(2) =1,394\\ \\x= 37.3\ in`

`38\ in > 37.3\ in`

therefore

The baton will not fit in the rectangular box