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Answer:
24 square feet
Step-by-step explanation:
Given:
Dorian is spreading mulch on his triangular flowerbed.
The base is 8 feet.
The height is 6 feet.
Question asked:
How many square feet of mulch will he need for the flowerbed?
Solution:
The base of triangular flowerbed = 8 feet.
The height of triangular flowerbed = 6 feet.
now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-
As we know:


Thus, 24 square feet of mulch he will need for the flowerbed.
Solve for x:
x^2 + 10 x + 12 = 36
36 = 36:
x^2 + 10 x + 12 = 36
Subtract 12 from both sides:
x^2 + 10 x = 24
Add 25 to both sides:
x^2 + 10 x + 25 = 49
Write the left hand side as a square:
(x + 5)^2 = 49
Take the square root of both sides:
x + 5 = 7 or x + 5 = -7
Subtract 5 from both sides:
x = 2 or x + 5 = -7
Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.