SAT Subject Test Mathematics Level 2

POLYGONS—PERIMETER AND AREA

The Math 2 test makers like to write problems that combine the concepts of perimeter and area.
What you need to remember is that perimeter and area are not directly related. In Example 5, for
instance, you have two figures with the same perimeter, but that doesn’t mean they have the same
area.

Example 5

Sketch what’s described in the question.

Perimeter   of  Rhombus =   4   ×   side

Area    of  Rhombus =   base    ×   height

Square: Four    right   angles  and four    equal   sides.

Perimeter   of  Square  =   4   ×   side

Area    of  Square  =   (side)^2

5.

A   triangle    and a   regular hexagon have    the same    perimeter.  If  the area    of  the hexagon is   ,

what    is  the area    of  the triangle?

5.

(A) 62.354

(B) 83.138

(C) 101.823

(D) 103.923

(E) 124.708