Fill in the steps to find the area of the shape. Units are in feet.
Step 1: Find the
distance
of the line that connects C to D and the line that connects
B to C
.
Once these are found, we will
multiply each by 2 and then add
these.
Step-by-step solution to find the area of the shape:
Step 1: Find the distance of the line that connects C to D:
To find the distance between two points in a coordinate plane, we can use the distance formula. Let's denote the coordinates of point C as (x₁, y₁) and the coordinates of point D as (x₂, y₂).
The distance formula is given by:
distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Calculate the distance between C and D using the coordinates provided.
Step 2: Find the distance of the line that connects B to C:
Similar to Step 1, find the distance between two points using the coordinates of point B and point C. Let's denote the coordinates of point B as (x₁, y₁) and the coordinates of point C as (x₂, y₂).
Calculate the distance between B and C using the coordinates provided.
Step 3: Multiply each distance by 2:
Multiply the distance found in Step 1 by 2 and the distance found in Step 2 by 2.
Step 4: Add the two multiplied distances:
Add the results from Step 3 to find the sum of the two multiplied distances.
The sum obtained in Step 4 is the area of the shape.
Step 1: Find the distance of the line that connects C to D and the line that connects B to C.
To find the distance between two points, we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula:
Distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Let's say the coordinates of point C are (x1, y1) and the coordinates of point D are (x2, y2). We can substitute these values into the distance formula to find the distance between C and D.
Similarly, let's say the coordinates of point B are (x3, y3) and the coordinates of point C are (x1, y1). We can substitute these values into the distance formula to find the distance between B and C.
Step 2: Multiply each of these distances by 2.
Once we have the distances, we multiply each value by 2. Let's call the distance between C and D as "d_CD" and the distance between B and C as "d_BC".
d_CD * 2 = 2 * d_CD
d_BC * 2 = 2 * d_BC
Step 3: Add the results of step 2.
We add the results of step 2 together.
Final Step: Calculate the area of the shape.
To calculate the area of the shape, we need the dimensions of the shape. If it is a rectangle, we multiply the width (distance between C and D) by the length (distance between B and C). If the shape is a triangle or any other irregular polygon, we would use different formulas such as the area of a triangle formula.
Area = Width * Length
To find the distance of the line that connects point C to D and the line that connects point B to C, you can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
So, for the line CD, let's assume the coordinates of C are (x1, y1) and the coordinates of D are (x2, y2). Calculate the distance using the distance formula:
distance_CD = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Similarly, for the line BC, let's assume the coordinates of B are (x1, y1) and the coordinates of C are (x2, y2). Calculate the distance using the distance formula:
distance_BC = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Once you have found both distances, you need to multiply each distance by 2 and then add them together:
calculation = (distance_CD * 2) + (distance_BC * 2)
This will give you the total calculated value. Remember to subtract the units of measurement (in this case, feet) to obtain the final answer in square feet, as you are calculating the area of the shape.