The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.
<h3>What is coordinate geometry?</h3>
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Given the points K(-2,5), L(1,3) and M(-5, 2p).
If KL is perpendicular to LM. Then we have
The slope of KL will be
KL = (1+2)/(3-5)
KL = -1.5
The slope of LM will be
LM = (1+6)/(3-2p)
LM = 7/(3-2p)
We know the product of the perpendicular lines is a negative one.
KL x ML = -1
-1.5 x 7/(3-2p) = -1
-10.5 = -3 + 2p
2p = -7.5
p = -3.75
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Slope: 0 | Y intercept 0, 33
The area of a 2D form is the amount of space within its perimeter. The area of the garden is 72 feet² and the perimeter of the garden is 36 feet.
<h3>What is an area?</h3>
The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The diagram for the given garden is given below.
1.) The area of the garden is,
The area of the garden = Area of rectangle + Area of triangle
= (6 x 8) + (0.5 x 6 x 8)
= 48 + 24
= 72 feet²
2.) The perimeter of the garden is,
The perimeter of the triangle = 12 + 8 + 6 + 10 = 36 feet
Hence, the area of the garden is 72 feet² and the perimeter of the garden is 36 feet.
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