Question

How does the area of triangle ABC compare to the area of parallelogram GHJK? The area of △ABC is 2 square units greater than the area of parallelogram GHJK. The area of △ABC is 1 square unit greater than the area of parallelogram GHJK. The area of △ABC is equal to the area of parallelogram GHJK. The area of △ABC is 1 square unit less than the area of parallelogram GHJK.

Answer 1

A: The area of △ABC is 2 square units greater than the area of parallelogram GHJK.

Edge 2022

Answer 2

Area ( GHJK ) = 2 x ( 4 x 2 ) / 2 = 8 square units
Area ( Δ ABC ) = ( 4 x 6 ) - ( 4 x 4 / 2 ) - ( 1 x 6 / 2 ) - ( 3 x 2 / 2 ) =
= 24 - 8 - 3 - 3 = 34 - 14 = 10 square units
10 - 8 = 2 square units
Answer:
A ) The area of Δ ABC is 2 units greater than area of parallelogram GHJK.