The diagonals AC and EC of the pentagon forms two right triangles and
on isosceles triangle, together which gives the area of the pentagon.
Correct response:
- The area of the convex pentagon is <u>104 square units</u>.
<h3>Methods used to finding the area of a pentagon</h3>
The given parameters are;
AB = 5
BC = 12
AE = 13
DE = 8
CD = 6
m∠B = m∠D = 90°
Required:
The area of the convex pentagon ABCDE
Solution:
The area of pentagon ABCDE = Right ΔABC + Right ΔCDE + ΔACE
Area of right triangle ΔABC = 
× 5 × 12 = 30
Area of right triangle ΔCDE = × 6 × 8 = 24
Length of AC = 
Which gives; AC = 
= 13
Length of EC = 
Which gives; EC = 
= 10
Therefore, ΔACE is an isosceles triangle
Base of ΔACE = EC
Therefore;
Height of isosceles triangle ΔACE = 
= 12
Area of ΔACE = 
× 10 × 12 = 60
Therefore;
- Area of the convex pentagon ABCDE = 30 + 24 + 60 = <u>104</u>
Learn more about finding the area of geometric figures here:
brainly.com/question/2279661
Answer:
The amount that will be in the account will be $(2900 +261x)
Step-by-step explanation:
We know that the amount of money that will be in the account will be a sum of the initial principal ($2900) and the interest that is accrued after x years.
Since we already know the principal, we will have to calculate the interest that is accrued after x years.
we can use the formula:
Interest = (principal X rate X time)/ 100
Interest = 
Therefore the amount that will be in the account will be $(2900 +261x)
Answer:
I need some more context
Step-by-step explanation:
Answer:
R is 84
Step-by-step explanation:
6 times 14 is 84 and 84 divided by 6 is 14
Answer:
90 inches
Step-by-step explanation: 7 feet*12 inches= 84 and .5 feet*12 inches= 6.
84 inches+ 6inches=90inches
