Mathematics: Abcde is a regular pentagon. the apothem is 9.7 cm, and ab = 14.1 cm. calculate the area of the pentagon. round the answer to the nearest tenth. a. 68.4 cm b. 136.8 cm c. 341.9 cm d. 683.9 cm

Abcde is a regular pentagon. the apothem is 9.7

Ответ:

HealTheWorld

13.01.2022

Mathematics

The correct option is C. 341.9 cm²

Step-by-step explanation:

Length of the apothem is given to be 9.7 cm

Also, Side length of the regular pentagon is given to be 14.1 cm

Now, we need to find the area of the pentagon :

So, Area of the regular pentagon is given by the formula :

$Area =\frac{5}{2}\times side\times apothem\\\\\implies Area=\frac{5}{2}\times 14.1\times 9.7\\\\\implies Area = 341.925\: cm^2\\\\\implies Area\approx 341.9\:cm^2$

Therefore, The required area of the regular pentagon = 341.9 cm²

Hence, The correct option is C. 341.9 cm²

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Ответ:

jack253680

25.03.2020

Mathematics

The number line is attached.

1. You have the following fractions given in the problem above:

$\frac{1}{2},\frac{1}{4},\frac{1}{5},\frac{1}{3}$

2. You can write them in decimal form by dividing the numerator and the denominator. Keeping this on mind, you have:

$\frac{1}{2}=0.5$

$\frac{1}{4}=0.25$

$\frac{1}{5}=0.2$

$\frac{1}{3}=0.33$

3. Now, you can put these positive numbers in the number line, as you can see in the figure attached.

$Put the fracrions on a number line: 1/2 1/4 1/5 1/3$

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Abcde is a regular pentagon. the apothem is 9.7 cm, and ab = 14.1 cm. calculate the area of the pentagon. round the answer to the nearest tenth.
a. 68.4 cm
b. 136.8 cm
c. 341.9 cm
d. 683.9 cm

Ответ:

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