Patricia is constructing 2 similar boxes of
different sizes. The larger box has a length of
38 inches and a width of 6 inches. The second
box is 3 inches wide.
What is the length of the second box?

Respuesta :

The length of the second box is 76 inches.

What are Similar shapes?

If two shapes are similar in shapes, they tend to have corresponding sides, also be in a similar ratio and their corresponding angles are equal.

From the parameters given:

  • The shape of the box is a rectangle.

For the larger box, the area is = length × breadth

Area = 38 in× 6 in

Area = 228 inches²

For the smaller box;

Area = Length × width

Area = Length × 3 inches

Area = 3L inches

Using the relation of similar shapes:

228 inches² = 3L inches

Length (L) = 228 inches²/3

Length (L) = 76 inches

Learn more about similar shapes here:

https://brainly.com/question/2644832