the octagon shown below has eight congruent sides. the given measures of the octagon are rounded to the nearest
tenth of a centimeter.
11.6 cm
8.2 cm
28 cm
8.2 cm
- 28 cm
what is the area, to the nearest square centimeter, of the octagon?
a.
392
b. 487
c. 650
d. 720

Option C

Step-by-step explanation:

we know that

The area of the octagon can be divided in two trapezoids and one rectangle

so

The area of the octagon is equal to the area of the two trapezoids plus the area of rectangle

step 1

Find the area of one trapezoid

The area of one trapezoid is equal to

we have

substitute

step 2

Find the area of rectangle

The area of rectangle is

we have

substitute

step 3

Find the area of the octagon

Round to the nearest square centimeter

45.3592

step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: