Answer:
44 units²
Explanation:
The overall dimensions are the inner rectangle dimensions plus twice the frame width. For a 2-unit frame, the outside dimensions are ...
width = 2 +2(2) = 6 units
height = 5 +2(2) = 9 units
Then the overall area is ...
A = LW = (6 units)(9 units) = 54 units²
The area of the inner rectangle is ...
A = (2 units)(5 units) = 10 unit²
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The area of the frame is the difference between the overall area and the area of the rectangle:
frame area = (rectangle +frame) -(rectangle)
= (54 units²) -(10 units²) = 44 units² . . . . area of frame