Question
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 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.
Answers
Answered by
GPT 3.5
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 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