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, [latex]P[/latex] , of a rectangle is the sum of twice the length and twice the width.
    • [latex]P=2L+2W[/latex]
  • The area, [latex]A[/latex] , of a rectangle is the length times the width.
    • [latex]A=L\cdot W[/latex]
• Triangle Properties
  • For any triangle [latex]\Delta ABC[/latex] , the sum of the measures of the angles is 180°.
    • [latex]m\angle A+m\angle B+m\angle C=180^\circ [/latex]
  • The perimeter of a triangle is the sum of the lengths of the sides.
    • [latex]P=a+b+c[/latex]
  • The area of a triangle is one-half the base, b, times the height, h.
    • [latex]A=\frac{1}{2}bh[/latex]

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