a rectangular suitcase measure 24 inches long and the diagonal is 30 inches long. the zipper covers the entire perimeter of the

Question

3 years ago

9

suitcase. how many inches of the zipper was needed to cover the perimeter of the suitcase?

1 answer:

11111nata11111 [884] · Answer 1 · 2022-06-09T21:46:35+03:00

Given parameters:

Length of the suitcase = 24 inches

Length of the diagonal = 30 inches

Unknown:

Length of zipper required to cover the perimeter = ?

The length of this zipper is the same as the perimeter of the rectangular suitcase.

Perimeter of a rectangle = 2(L + B)

where L is the length and B is the breadth

Now, let us find the find the unknown breadth;

Using Pythagoras theorem;

30² = 24² + Breadth²

Breadth² = 30² - 24² = 324

Breadth = √324 = 18 inches

Perimeter of the suitcase = 2(24 + 18) = 84 inches.

The length of zipper that will cover this suitcase is 84inches.