12x^2+ 16x factor by gcf
1 answer:
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Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
<u>Given the following data;</u>
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
<em>We know that, the area of rectangle, A = length * width</em>
<em>Substituting the values into the equation, we have;</em>
<em>Expanding the bracket, we have;</em>
*Solving the quadratic equation by using factorization method*
Width, w = 5 feet or w = -16 feet.
<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>
<em>To find its length, l;</em>
When w = 5 feet
Length, l = 16 feet
When w = - 16 feet
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
The basic angle for 1/2 is 60°, and cosines are negative in the first and third quadrant.
So, you take 180° - 60° = 120° to get the angle in the first quadrant, and 180° + 60° = 240° to get the angle in the third quadrant.
Since only 120° is an option, the answer is B.