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A picture framer is painting the front of a picture frame. What is the area of the frame? Assume that all segments that look congruent are congruent and all angles that look like right angles are right angles.

(1 point)
Responses

864 square units
864 square units

576 square units
576 square units

480 square units
480 square units

288 square units

given:
a rectangle with a small rectangle inside
the outside larger rectangle measures 36 by 24
inside 16 by 14

1 answer

To find the area of the frame, we need to calculate the area of the larger rectangle and subtract the area of the smaller rectangle from it.

  1. Calculate the area of the larger rectangle:

    • Dimensions: 36 units by 24 units
    • Area = Length × Width = 36 × 24 = 864 square units

  2. Calculate the area of the smaller rectangle:

    • Dimensions: 16 units by 14 units
    • Area = Length × Width = 16 × 14 = 224 square units

  3. Calculate the area of the frame:

    • Area of the frame = Area of the larger rectangle - Area of the smaller rectangle
    • Area of the frame = 864 - 224 = 640 square units

Since the options provided do not contain 640 square units as a choice, recheck the possible values again.

However, based on the information given, the area of the frame is 640 square units.