We read your photo as:

A regular hexagonal flower garden has a side length of 8 meters. What is its area?

Mathematics

ScanSolve AI Answer

Answer

166.272 m2166.272 \text{ m}^2

Step-by-step solution

4 steps
  1. Identify the shape and given dimensions.

    The flower garden is in the shape of a regular hexagon.
    The side length of the hexagon is s=8s = 8 m.

  2. State the formula for the area of a regular hexagon.

    The area AA of a regular hexagon with side length ss is given by the formula:

    A=332s2A = \frac{3\sqrt{3}}{2} s^2
  3. Substitute the given side length into the formula.

    Substitute s=8s = 8 m into the formula:

    A=332(8)2A = \frac{3\sqrt{3}}{2} (8)^2
  4. Calculate the area.

    First, calculate 828^2:

    A=332(64)A = \frac{3\sqrt{3}}{2} (64)

    Multiply 332\frac{3\sqrt{3}}{2} by 64:

    A=33×642A = 3\sqrt{3} \times \frac{64}{2} A=33×32A = 3\sqrt{3} \times 32 A=963 m2A = 96\sqrt{3} \text{ m}^2

    To provide a numerical value, use 3≈1.732\sqrt{3} \approx 1.732:

    A≈96×1.732A \approx 96 \times 1.732 A≈166.272 m2A \approx 166.272 \text{ m}^2

    The area of the garden is approximately 166.272 m2^2.

    166.272 m2166.272 \text{ m}^2
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp