A rectangular park has 2 paths of width 2m running across it. What is the total area covered by the 2 paths ?
1 answer:
You might be interested in
Answer:
The solutions are
Step-by-step explanation:
we have
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
square root both sides
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
#SPJ1