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1 year ago

In the regular octagon below, if AP = 12 cm. and BC = 19 cm, find its area.

Mathematics

2 answers:

Ede4ka [16]1 year ago

6 0

Answer:

Step-by-step explanation:

You cannot do this unless you are certain that P is the center of the octagon. I don't know if that's solvable from the information given. So I will make the assumption that P is the center.

Determine the midpoint of BC. Call it E. Draw a line from P to E. By symmetry EP = AP. BE = 1/2 * BC = 19/2 = 9.5 by construction

You have a trapezoid witch is 1/4 the area of the octagon. Three more trapezoids can fit into the octagon.

Formula

Area = (AP + BE)*PE / 2

Givens

AP = 12

BE = 9.5

PE = 12

Solution

Put the givens and constructions into the formula

Area = (12 + 9.5)*12/2

Area = 21.5 * 12/2

Area = 21.5 * 6

Area = 129

That's the area of one of the trapezoids. Multiply the area here by 4.

You get 516.

Blizzard [7]1 year ago

5 0

First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)

Then find the area of one of the triangles:

Area of Triangle = $\frac{1}{2} * b* h$

A = $\frac{1}{2}$ × 12 × 19

A = 114 cm²

To find the area of the whole octagon shape:

A = 114 × 8 = 912 cm²

<em>Hope it helps!</em>

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kvv77 [185]

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2 years ago

The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones

cricket20 [7]

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