Strategies, Sample Questions, and Random Ramblings.

by ejkiv

July 19, 2015

There are several types of GMAT quadrilaterals, or four-sided figures, that you will need to know when taking the GMAT. We will look at the area perimeter and other properties of each figure individually.

___________________________________________________________________________________________**Trapezoid:** A quadrilateral with one pair of parallel sides

**Area =** ((b1+b2)/2)×h

**Perimeter =** the sum of all sides (they can all be different lengths so there is no shortcut.

**Parallelogram:** A quadrilateral with two pairs of parallel sides

**Area = ***b* x *h*

**Perimeter =** 2*b* + 2*s* (*s* = the other two sides)

**Diagonals -** Bisect each other

**Rhombus:** A parallelogram that has four equal sides (also called a diamond)

**Area =** *b *× *h *(*h* is the dotted line)

**Perimeter =** 4*s* (*s* is the length of a side)

**Other -** The interior triangles created by the diagonals are all identical

**Rectangle:** A parallelogram that has four right angles and 2 sets of congruent

**Area =** *b*×*h* (also known as *l* and *w*)

**Perimeter =** 2*l* + 2*w*

**Diagonals -** Bisectors of each other, all segments are equal.

**Other -** The interior triangles created by the diagonals are two sets of identical isosceles triangles

Square: A rectangle that has four equal sides (also, a rhombus with right angles)

**Area =** s^2

**Perimeter =** 4s

**Diagonals -** Perpendicular bisectors of each other, all segments are equal.

**Other -** The interior triangles created by the diagonals are four congruent isosceles right triangles, otherwise known as 45:45:90 triangles.

Greg R., client, New York City

Emil C., client, Singapore

Chris S, client, New York City