CPM Homework Help : CCG Problem 11-46

Examine the Venn diagram at right. In which region should the figure below be placed? Show all work to justify your conclusion.

2 overlapping circles, left, labeled "These shapes have an area, more than 15 square units", right labeled "These shapes have perimeter, more than 20 units". 4 regions labeled as follows: inside left circle, A, inside the overlapping region, B, inside right circle, C, and outside circles, D.

Trapezoid: dashed segment from top right vertex, perpendicular to longer, bottom base, creates right triangle, with right side of trapezoid, the hypotenuse, horizontal & vertical legs, each with 2 tick marks, left slanted side, labeled 4, top base labeled, 6, bottom left angle, 30 degrees.

Hint:

Divide the trapezoid into portions and use special right triangles to help find side lengths.

More Help 1:

The formula to find the area of a trapezoid is: $\frac{1}{2}(\text{base}_1+\text{base}_2)(\text{height})$

More Help 2:

If area $≈ 17.46\text{ units}^2$ and perimeter $≈ 24.3$ units, where should the figure be placed?