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The measurements of the figure are as follows:

Rectangle B: 16 cm x 10 cm
Rectangle C: 16 cm x 5 cm
Rectangle D: 16 cm x 10 cm
Rectangle E: 16 cm x 5 cm
Rectangle A: 10 cm x 5 cm
Rectangle F: 10 cm x 5 cm

The formula for the are of the rectangle is what

A: *blank 1* = *blank A* cm²
B: *blank 2* = *blank B* cm²
C: *blank 3* = *blank C* cm²
D: *blank 4* = *blank D* cm²
E: *blank 5* = *blank E* cm²
F: *blank 6* = *blank F* cm²

Surface area = *blank g* cm²

Blanks with numbers have options blanks with Letters just fill to the best of your ability

Options for blank 1 to 6

Options A: A = 10 * 16

Option B: A = 5 * 16

Option C: A = 10 * 16

Option D: A = 10 * 5

Option E: A = 10 * 5

Option F: A = 5 * 16

1 answer

The formula for the area of a rectangle is given by:

Area = length × width

Now, let's fill in the blanks for each rectangle based on the provided measurements:

  1. For Rectangle A (10 cm x 5 cm):
    Area A = 10 * 5 = 50 cm²

  2. For Rectangle B (16 cm x 10 cm):
    Area B = 16 * 10 = 160 cm²

  3. For Rectangle C (16 cm x 5 cm):
    Area C = 16 * 5 = 80 cm²

  4. For Rectangle D (16 cm x 10 cm):
    Area D = 16 * 10 = 160 cm²

  5. For Rectangle E (16 cm x 5 cm):
    Area E = 16 * 5 = 80 cm²

  6. For Rectangle F (10 cm x 5 cm):
    Area F = 10 * 5 = 50 cm²

Now, let’s fill in the blanks according to the calculation:

A: Area = 10 * 5 = 50 cm²
B: Area = 16 * 10 = 160 cm²
C: Area = 16 * 5 = 80 cm²
D: Area = 16 * 10 = 160 cm²
E: Area = 16 * 5 = 80 cm²
F: Area = 10 * 5 = 50 cm²

Now let's calculate the total surface area:

Total Surface Area = Area A + Area B + Area C + Area D + Area E + Area F
= 50 + 160 + 80 + 160 + 80 + 50
= 580 cm²

Now we can fill in the last blank:

Surface area = 580 cm²

Final filled in blanks:

  1. A: Area = 10 * 5 = 50 cm²
  2. B: Area = 16 * 10 = 160 cm²
  3. C: Area = 16 * 5 = 80 cm²
  4. D: Area = 16 * 10 = 160 cm²
  5. E: Area = 16 * 5 = 80 cm²
  6. F: Area = 10 * 5 = 50 cm²
  7. Surface area = 580 cm²