Summary: Using Properties of Rectangles, Triangles, and Trapezoids

• Perimeter of a Rectangle
• Area of a Rectangle
• Perimeter and Area Formulas
• Area of a Triangle
• Area of a Triangle with Fractions
• Area of a Trapezoid

Key Concepts

• Properties of Rectangles
  • Rectangles have four sides and four right (90°) angles.
  • The lengths of opposite sides are equal.
  • The perimeter, $P$ , of a rectangle is the sum of twice the length and twice the width.
    • $P=2L+2W$
  • The area, $A$ , of a rectangle is the length times the width.
    • $A=L\cdot W$
• Triangle Properties
  • For any triangle $\Delta ABC$ , the sum of the measures of the angles is 180°.
    • $m\angle A+m\angle B+m\angle C=180^\circ$
  • The perimeter of a triangle is the sum of the lengths of the sides.
    • $P=a+b+c$
  • The area of a triangle is one-half the base, b, times the height, h.
    • $A=\frac{1}{2}bh$

Glossary

area

The area is a measure of the surface covered by a figure.

equilateral triangle

A triangle with all three sides of equal length is called an equilateral triangle.

isosceles triangle

A triangle with two sides of equal length is called an isosceles triangle.

perimeter

The perimeter is a measure of the distance around a figure.

rectangle

A rectangle is a geometric figure that has four sides and four right angles.

trapezoid

A trapezoid is four-sided figure, a quadrilateral, with two sides that are parallel and two sides that are not.

Licenses & Attributions