When you are given the side length and apothem of a regular polygon and asked for area, you are expected to use the formula
... A = (1/2)Pa
where P is the perimeter of the polygon, "a" is the apothem, and A is the area.
The only additional information you need is that a decagon has 10 sides, so its perimeter is 10×3.2 inches = 32 inches.
The area is ...
... A = (1/2)(32 in)(5 in)
... A = 80 in²
_____
Sometimes the dimensions of a problem like this don't quite add up. The geometry of a regular polygon means that the apothem can be found from the side length and vice versa. In this case, the side length of 3.2 inches means the apothem is about 4.92 inches; or the apothem of 5 inches means the side length is about 3.25 inches. Either way, the area is slightly different from that computed using the given numbers.
This is why I say you're expected to use the above formula. (You're not expected to think about it too much.)
Answer: number 3 is 10 and number 4 is 3.16
Step-by-step explanation:
its just finding the square roots and doing the operation that follows
Answer:
1/7 is greater than 1/10 using coordinates and its area of the division concept.
Step-by-step explanation:
We have to draw two identical rectangles and have to shade them.
Here is the diagram attached with.<em> (With some approximation)</em>
We can see that 
.
Rectangles are identical.
When we look upon 
it can be observed that each division on the coordinate plane have 2 boxes only...
Where as 
fraction consists more than 2 boxes ..
So we can say that the area covered for each division in is more than that of .
Mathematical concept:
If the numerator are same then to compare fractions we look upon denominators values.
Greater the denominator lesser is the fraction values.
So,
Finally we can say that 1/7 is greater than 1/10 .
The left triangle is a 30-60-90 triangle so line ST = 2 which means line RT is 4 (double the length of ST).
The right triangle is a 45-45-90 triangle which means RT and RQ are congruent.
So if RT = RQ and RT = 4, then x = 4
