B(0,5)
F(0,3)
G(30,3)
C(30,5)
Find the area,
Area BFGC =
roughly plot the points to see that you have a rectangle of
base = 30
height = 2
area = 2x30 = 60 square units
Nice! Thank You
To find the area of BFGC, we can break it down into two separate rectangles, BDFE and CEGF, and then add their areas together.
1. Find the length and width of rectangle BDFE:
To find the length, subtract the x-coordinates of points B and F: BF = 0 - 0 = 0.
To find the width, subtract the y-coordinates of points B and F: BE = 5 - 3 = 2.
2. Calculate the area of rectangle BDFE:
Area_BDFE = Length * Width = 0 * 2 = 0.
3. Find the length and width of rectangle CEGF:
To find the length, subtract the x-coordinates of points G and C: GC = 30 - 30 = 0.
To find the width, subtract the y-coordinates of points G and C: GE = 3 - 5 = -2 (since the y-coordinate of G is smaller than the y-coordinate of C, we take the absolute value).
4. Calculate the area of rectangle CEGF:
Area_CEGF = Length * Width = 0 * 2 = 0.
5. Add the areas of the two rectangles together:
Area_BFGC = Area_BDFE + Area_CEGF = 0 + 0 = 0.
Therefore, the area of BFGC is 0 square units.