Answer:(-2, 2)
Step-by-step explanation:
7q² - 28 = 0
Add 28 to bothside
7q² - 28 + 28 = 0+ 28
7q² = 28
Divide bothside by 7
7q² / 7 = 28/7
q² = 4
Take the square root of bothside
√q² = ±√4
q = ± 2
q = -2 or q =2
q = (-2, 2)
The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
<h3>What is the area of the rectangle?</h3>
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
The length of a new rectangle playing field is 6 yards longer than quadruple the width.
Let's suppose the length is l and width is w of a rectangle:
From the problem:
l = 6 + 4w
Perimeter P = 2(l + w)
532 = 2(l + w)
Plug l = 6+4w in the above equation:
532 = 2(6 + 4w + w)
266 = 6 + 5w
260 = 5w
w = 52 yards
l = 6 +4(52) = 214 yards
Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.
Learn more about the area of rectangle here:
brainly.com/question/15019502
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Answer:
The answer is 1/6
Step-by-step explanation:
1/2 % 3= 1/6
9/12=1/2+1/4 hope this helps
