Answer:
rectangle with sides x, 2x+2
Step-by-step explanation:
The perimeter of the triangle shown is the sum of its side lengths:
P = (x+3) +(2x+1) +(3x) = 6x +4
A square would have a side length that is 1/4 of this. The side lengths of a square with the same perimeter are ...
s = (6x +4)/4 = 1.5x +1 . . . . . doesn't match any answer choices
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A rectangle has a perimeter that is twice the sum of the side lengths:
P = 2(L + W)
Then the sum of the side lengths would need to be ...
6x +4 = 2(L +W)
3x +2 = L + W . . . . . requirement on rectangle with the same perimeter
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Choice 3:
The sum of side lengths of this rectangle is (x) +(2x+2) = 3x+2. This matches the perimeter of the triangle.
Choice 4:
The sum of side lengths of this rectangle is (2x) +(x+1) = 3x +1. This does not match the perimeter of the triangle.
