Final answer:
The perimeter of the quadrant is approximately 10.99 cm.
Step-by-step explanation:
To find the perimeter of the quadrant, we need to calculate the length of the curved arc. The circumference of a circle is given by the formula 2πr, where r is the radius. In this case, the radius is 7 cm, so the circumference of the full circle is 2π(7) = 14π cm. Since we only have a quadrant, we need to find 1/4 of the circumference, which is (1/4)(14π) = 3.5π cm. The value of π is approximately 3.14, so the perimeter of the quadrant is approximately 3.5(3.14) = 10.99 cm.