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3 years ago

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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. M

aurice 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.

1 answer:

valkas [14]3 years ago

5 0

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.

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