Irregular Shape Areas Sample Problems

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Here are some tips for Irregular Shape Areas, which aligns with New York state standards:

Irregular Shape Areas

In this topic, you will find the difference between the areas of two shapes.
It is a good idea to brush up on shapes and area formulas.

Square:
A square has 4 equal sides, s.
The diagonal has length s√2.
Area = s² Equilateral Triangle:
An equilateral triangle has 3 equal sides, a.
The height has length a√3/2.
Area = a²√3/4.

Right triangle:
Pythagorean theorem applies to right triangles.
Side c is the longest side.
a² + b² = c² Circle:
d = 2r
Area = π r²


Square: A square has 4 equal sides, s. The diagonal has length s√2. Area = s²		Equilateral Triangle: An equilateral triangle has 3 equal sides, a. The height has length a√3/2. Area = a²√3/4.

Right triangle: Pythagorean theorem applies to right triangles. Side c is the longest side. a² + b² = c²		Circle: d = 2r Area = π r²