Question

The area and perimeter of parallelogram

Answer 1

Triangles ADE and CDF are similar,  so:-
10/12 = 15/CD
CD = (12*15) / 10 =  18 cm  = AB = base of the parallelogram

Area of the parallelogram = base * height = 18 *10 = 180  cm^2 (answer)

(b)  The perimeter:-
AD = CB = 15 (opposite sides are equal)

Perimeter = 2*18 + 2*15 = 36 + 30 = 66 cm (answer)