The sum of angles in a triangle add up to 180°, therefore to find the value of x we proceed as follows;
sum of angles in ΔABC will be:
48+(6x-28)+2x=180
putting like terms together we get
48-28+6x+2x=180
20+8x=180
8x=180-20
8x=160
x=160/8
x=20°
hence:
∠B=(6x-28)=6×20-28=92°
∠C=2x=2×20=40°
Answer:
It will be an equilateral triangle and the area is 1924.5 sq. meters.
Step-by-step explanation:
If the total length of the fencing of 200 meters is utilized then the perimeter of the triangle will be 200 meters.
Now, we know that the type of triangle that gives the maximum area for a given perimeter is an equilateral triangle.
So, the equilateral triangle with a perimeter of 200 meters will have side lengths of
meters.
Now, the area of an equilateral triangle with sides a units is given by
sq. units.
So, the area of the above equilateral triangle will be =
sq. meters. (Answer)
Diameter of the circle in the middle = 8 ft
Radius of the circle in the middle :



Thus, the radius of the circle in the middle = 4 ft
Area of the entire circle :





Thus, the area of the entire circle = 314 ft
Area of the circle in the middle :




Thus, the area of the circle in the middle = 50.24 ft
Area of the shaded portion :
= Total area of the figure - Area of the circle in middle


▪︎Therefore, the area of the shaded portion = <u>263.76 ft</u>
Answer:
you forgot the question
Step-by-step explanation: