Answer:
45 square units
Step-by-step explanation:
You can cut the yellow figure into a triangle (4 by 5) and a rectangle (7 by 5).
Using the formula 
and 
area formulas, we get:
The area shaded in yellow is 45 square units
Answer:
j=13, g=20.8, h=24
Step-by-step explanation:
The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (
) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be 
. The a is 12 since it is the smallest value. So therefore, g is 
, which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24
Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: 
units.
<h3>How to calculate perimeter of a triangular figure?</h3>
Perimeter of a triangle = Sum of lengths of all its 3 sides.
For the given case, we have:
Length of first side(hypotenuse) = 
units
Height = 
units
Base is of length 
Thus, its perimeter is calculated as:
Perimeter of a triangle = Sum of lengths of all its 3 sides.
Perimeter = 
units
Perimeter = units
Thus,
The perimeter of the consider triangular pool is: units.
Learn more about perimeter here:
brainly.com/question/10466285
It is not an equilateral triangle. To prove this, you must solve for x. I found x by setting 2x+5.2 = 3x+1.2 to get x=4. Then I plugged 4 into equation to see if they were equal. 2(4)+5.2= 13.2 and 3(4)+1.3=13.2 but 2(4)+6.2=14.2. This allows us to conclude that the triangle is not equilateral because all of the sides are NOT congruent. Hope that helped:))
