how does the area of triangle abc compare to the area of parallelogram ghjk? the area of △abc is 2 square…

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.

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

Explanation:

Step1: Recall area formulas

Area of triangle $A_{triangle}=\frac{1}{2}bh$, area of parallelogram $A_{parallelogram}=bh$.

Step2: Count base and height for triangle

Counting grid - squares, for $\triangle ABC$, assume base $b = 4$ units and height $h = 3$ units. Then $A_{triangle}=\frac{1}{2}\times4\times3=6$ square units.

Step3: Count base and height for parallelogram

For parallelogram $GHJK$, base $b = 2$ units and height $h = 3$ units. Then $A_{parallelogram}=2\times3 = 6$ square units.

Answer:

The area of $\triangle ABC$ is equal to the area of parallelogram $GHJK$.