Question

If BC = 12 cm, AB = 14.8 cm. AC = 12.8 cm, the perimeter of quadrilateral BCYX is ______.

Options

• 31.8 cm

• 15.9 cm

• 29.8 cm

• 32.8 cm

Answer 1

If BC = 12 cm, AB = 14.8 cm. AC = 12.8 cm, the perimeter of quadrilateral BCYX is 31.8 cm.

Explanation:

Since X and Y are the midpoints of sides AB and AC, segment XY equals half of BC, which is 6 cm by the Midpoint Theorem. The segments BX and CY are half of AB (7.4 cm) and AC (6.4 cm), respectively, making the total perimeter of quadrilateral BCYX equal to 12 + 6.4 + 6 + 7.4 = 31.8 cm.