SSAT Upper Level Quantitative (Math)

This subject focuses on the quantitative reasoning and mathematical skills required for the SSAT Upper Level exam.

Advanced Topics

Geometry: Shapes, Area, and Perimeter

Exploring Shapes and Space

Geometry is about shapes, their sizes, and how they fit together. You'll work with triangles, rectangles, circles, and more.

Measuring Perimeter

The perimeter is the distance around a shape. Add up all the sides!

Finding Area

Area is the space inside a shape.

  • Rectangle: \( \text{Area} = \text{length} \times \text{width} \)
  • Triangle: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \)
  • Circle: \( \text{Area} = \pi r^2 \)

Why Geometry Matters

Geometry is used in art, sports fields, architecture, and even video game design.

Pro Tip

Draw a picture to help solve geometry problems!

Examples

  • A playground shaped like a rectangle 20m by 10m has an area of \( 200 \) square meters.

  • A triangle with base 6 cm and height 4 cm has area \( 12 \) square cm.

In a Nutshell

Geometry helps us measure and understand the world’s shapes and spaces.