Question

Uma quadrilátero tem lados medindo 4 cm, 6 cm, 8 cm e 10 cm. Se ele for dilatado por um fator de escala de 3, quais serão os comprimentos dos lados na nova figura?

Ask by Harrington Sherman. in Brazil
Mar 13,2025

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Tutor-Verified Answer

Answer

Os novos comprimentos dos lados após a dilatação são 12 cm, 18 cm, 24 cm e 30 cm.

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Beyond the Answer

Quando dilatamos uma figura por um fator de escala, multiplicamos o comprimento de cada lado pelo fator de escala. Neste caso, temos os lados do quadrilátero medindo 4 cm, 6 cm, 8 cm e 10 cm. Ao aplicar o fator de 3: - O lado de 4 cm se tornará \( 4 \times 3 = 12 \) cm. - O lado de 6 cm se tornará \( 6 \times 3 = 18 \) cm. - O lado de 8 cm se tornará \( 8 \times 3 = 24 \) cm. - O lado de 10 cm se tornará \( 10 \times 3 = 30 \) cm. Portanto, após a dilatação, os lados do quadrilátero terão comprimentos de 12 cm, 18 cm, 24 cm e 30 cm.

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