The equation to model the above scenario is
+22x - 23 = 0
The perimeter of the expanded rectangle is 48 units
<h3>What is a rectangle?</h3>
A rectangle is a quadrilateral with its 4 angles 90°
Analysis:
First rectangle:
length = 10 + x
width = x
Second rectangle:
length = x + 14
width = x + 8
Area of expanded rectangle = 135 square unit
(x+8)(x+14) = 135
+ 8x + 14x + 112 = 135
+ 8x + 14x -23 = 0
+ 22x -23 = 0
+ 23x - x - 23 = 0
(x-1)(x+23) = 0
Therefore x = 1
Expanded length = 1+14 = 15
Expanded width = 1+8 = 9
Perimeter = 2(9+15) = 48 units
Learn more about Rectangles: brainly.com/question/25292087
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Answer:
(2, -6)
Step-by-step explanation:
5n^2+20n-60
(5n+30)(n-2)
5n + 30 = 0
5n = -30
(5n = -30)/5
n = - 6
n - 2 = 0
n = 2
answer: (2, -6)
2.52 x 3.4
= (2.50 + 0.02)(3.00 + 0.40)
= 2.50 x 3.00 + 2.50 x 0.40 + 0.02 x 3.00 + 0.02 x 0.40
= 7.500 + 1.000 + 0.060 + 0.008
= 8.500 + 0.060 + 0.008
= 8.560 + 0.008
= 8.568
Hi !
So,here we have to calculate the least common multiple of the numbers 15,25,9,8.
<span>We have to break down every number as a prime number product:</span>
15 = 3·525 = 5² 9 = 3² 8 = 2³
Then,we have to select <span> common and uncommon numbers at the highest power so:
</span><span>
</span><span>lcm : 2³·3²·5² = 8·9·25 = 1800
</span>
Area = length x width
So, 36/3 = 12
Width is 12