Question
15. The perimeter of a regular octagon is 176 cm . How long is one side of the octagon? A \( \quad 22 \mathrm{~cm} \) B \( \quad 44 \mathrm{~cm} \) C \( \quad 88 \mathrm{~cm} \) D \( \quad 1408 \mathrm{~cm} \) 16. A cake recipe requires \( 1,5 \mathrm{~kg} \) flour. Sammy has \( 0,8 \mathrm{~kg} \) flour in a bowl already. How much flour does Sammy still need in grams? A \( \quad 2300 \mathrm{~g} \) B \( \quad 950 \mathrm{~g} \) C \( \quad 700 \mathrm{~g} \) D \( \quad 230 \mathrm{~g} \)
Ask by Nguyen Griffin. in South Africa
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
15. Each side of the octagon is 22 cm long.
16. Sammy needs 700 grams more of flour.
Solution
15. Since a regular octagon has 8 equal sides, one side is the perimeter divided by 8. So, one side = 176 cm ÷ 8 = 22 cm. The correct answer is A.
16. The recipe needs 1.5 kg of flour and Sammy already has 0.8 kg. The additional amount required is 1.5 kg – 0.8 kg = 0.7 kg, which is equal to 700 grams. The correct answer is C.
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Simplify this solution Extra Insights
To find the length of one side of the regular octagon, we take the perimeter (176 cm) and divide it by the number of sides (8). So, \( \frac{176 \text{ cm}}{8} = 22 \text{ cm} \). That means each side of the octagon measures 22 cm, which is option A! Now, for the cake recipe, Sammy needs 1.5 kg of flour, which converts to 1500 grams. Since he already has 0.8 kg (800 grams), we subtract that from 1500 grams. So, \( 1500 \text{ g} - 800 \text{ g} = 700 \text{ g} \). Therefore, Sammy still needs 700 g of flour, which is option C!
