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3. The mass of rectangular plywood varies jointly as the length and the width. If the length
of the plywood is 42 cm and its width is 28 cm, its mass is 7056 grams. What is the mass
of the same plywood whose length is 48 cm and its width is 36 cm?​


Sagot :

Step-by-step explanation:

[tex]m = klw \\ \\ k = \frac{m}{lw} \\ \\ \frac{7056}{(42)(28)} = \frac{m}{(48)(36)} \\ \\ (42)(28)m = 7056(48)(36) \\ \\ 1176m = 12192768 \\ \\ \frac{1176m}{1176} = \frac{12192768}{1176} \\ \\ m = 10368 \: g[/tex]