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haley drew a square with a perimeter of 14.5 inches, a trapezoid with a…

Question

haley drew a square with a perimeter of 14.5 inches, a trapezoid with a perimeter of 14 1/4 inches, and a triangle with a perimeter of 14 4/5 inches. which shape has the smallest perimeter? square trapezoid triangle

Explanation:

Step1: Convert mixed - numbers to decimals

$14\frac{1}{4}=14 + \frac{1}{4}=14+0.25 = 14.25$; $14\frac{4}{5}=14+\frac{4}{5}=14 + 0.8=14.8$

Step2: Compare the perimeters

We have the perimeter of the square $P_{square}=14.5$ inches, the perimeter of the trapezoid $P_{trapezoid}=14.25$ inches, and the perimeter of the triangle $P_{triangle}=14.8$ inches. Since $14.25<14.5<14.8$.

Answer:

trapezoid