Question

Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 1012 inches by 1012 inches. Is he correct? Use the drop-down menus to explain your answer.
Stephan have enough wood to make the tray because he has square inches, which is than he needs to make the tray, square inches.

Answer 1

Answer:

i. No, Maurice statement is wrong.

ii. Stephan does not have sufficient pieces of wood to make the tray because the square inches required is more than what he has.

Step-by-step explanation:

Stephan's piece of wood measures; 18 inches in length and 12 inches in width.

Since the piece of wood has a shape of a rectangle,

the area of the piece of wood = length × width

                                                 = 18 × 12

                                                = 216 square inches

According to Maurice's statement, he could make a tray that has a base of 1012 inches by 1012 inches.

The base has the shape of a square, so that;

     the area of the base = length × width = $length^{2}$

                                       = 1012 ×1012

                                      = 1024144 squared inches

This shows that Stephan does not have sufficient wood to make the tray because the square inches required is more than what he has.