Area of Complex Shapes
This worksheet focuses on calculating the area of complex shapes by decomposing them into simpler geometric figures, suitable for Grade 11 math students.
Includes
Standards
Topics
Area of Complex Shapes
Name:
Date:
Score:
Read each question carefully and calculate the area of the complex shapes. Show all your work.
1. Calculate the area of the composite figure below, which consists of a rectangle and a semicircle. Use π ≈ 3.14.
2. A complex shape is formed by a square with side length 6 cm and an equilateral triangle attached to one of its sides. The area of the square is cm², and the height of the equilateral triangle is approximately cm.
3. Find the area of the shaded region if the larger rectangle has dimensions 12 units by 8 units, and the smaller unshaded rectangle inside it has dimensions 6 units by 4 units.
4. A composite shape is made of a square with side length 's' and four semicircles attached to each side. Which expression represents the total area of the shape?
s² + 2π(s/2)²
s² + πs²
s² + 4π(s/2)²
s² + π(s/2)²
5. The area of a complex shape can always be found by adding the areas of the simpler shapes it is composed of.
True
False
Related Worksheets
Segment Length Practice Worksheet
Grade 11 Math worksheet focusing on calculating and applying segment lengths in various geometric contexts, including number lines, coordinate planes, and geometric figures.
Similar Figures Worksheet
This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
Triangle Sum Theorem Worksheet
A Grade 11 math worksheet focusing on the Triangle Sum Theorem, including various problem types to reinforce understanding of triangle angle properties.
Similar Solids Worksheet - Grade 11 Geometry
Explore the properties of similar solids, including their ratios of corresponding linear measures, areas, and volumes, with these challenging problems.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.