Answer
Length = 10 ft
Width = 5 ft
Explanation
Area of the rectangle given = 50 ft²
Let the width of the rectangle be x
So this means the length of the rectangle will be 3x - 5
What to find:
The dimensions of the rectangle.
Step-by-step solution:
Area of a rectangle = length x width
i.e A = L x W
Put A = 50, L = 3x - 5, W = x into the formula.
The quadratic equation can now be solve using factorization method:
Since the dimension can not be negative, hence the value of x will be = 5.
Therefore, the dimensions of the rectangle will be:
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for <em>x</em>
- <u>Distribute -2:</u> 5x - 2x - 2 = 1/4
- <u>Combine like terms:</u> 3x - 2 = 1/4
- <u>Add 2 to both sides:</u> 3x = 9/4
- <u>Divide both sides by 3:</u> x = 3/4
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
Answer:
x = -4 / 3
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
Answer:
The answer is <u>D: lll and IV only</u>
Step-by-step explanation: