Question

to find the area of parallelogram rstu, juan starts by drawing a rectangle around it. each vertex of parallelogram rstu is on a side of the rectangle he draws. which expression can be subtracted from the area of the rectangle to find the area of parallelogram rstu? (18 - 4) 1/2 (18 + 4) 2(18 + 4) (18 + 4)

Explanation:

Step1: Identify rectangle area

Assume rectangle spans x=a to x=b, y=c to y=d. Area = (b-a)(d-c).

Step2: Calculate extra areas

Parallelogram vertices on rectangle sides create 4 triangles (2 congruent pairs). Sum of triangle areas = 18 + 4 = 22.

Step3: Parallelogram area

Area = Rectangle area - Extra areas. Thus, subtract (18+4).

Answer:

(18 + 4)