Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the

Question

Ket [755]

3 years ago

5

Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the

nearest tenth.

Mathematics

2 answers:

natulia [17] · Answer 1 · 2022-11-11T14:09:18+03:00

natulia [17]3 years ago

5 0

Answer:

261 cm²

Step-by-step explanation:

The area of the hexagon is 6 times the area of one of the triangles. The area of a triangle is base × height ÷ 2.

A = 6(8.7)10 ÷ 2

A = 261 cm²

ludmilkaskok [199] · Answer 2 · 2022-11-11T13:03:16+03:00

ludmilkaskok [199]3 years ago

4 0

Answer:

Step-by-step explanation:

A regular hexagon is made up of six triangles having a height of 8.7cm and a base of 10cm. So the area of the hexagon is 6 times the area of one of the triangles. Since the area of a triangle is bh/2 we have

A=6(8.7)10/2

A=261cm^2