Question

perimeter using congruent triangles
neron makes a quilt design using four congruent triangles as shown.
what is the perimeter of the entire design?
64 cm
108 cm
46 cm
147 cm

Explanation:

Step1: Identify the lengths of the outer sides

Since the triangles are congruent, the outer sides of the design have lengths \(9\mathrm{cm}\), \(14\mathrm{cm}\), \(21\mathrm{cm}\), \(9\mathrm{cm}\), \(14\mathrm{cm}\), \(21\mathrm{cm}\)

Step2: Calculate the perimeter

Perimeter \(P=9 + 14+21+9 + 14+21\)

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Answer:

\(108\mathrm{cm}\)