Area of Mixed Shapes
Calculate the area of various composite shapes including rectangles, triangles, and circles.
Includes
Standards
Topics
Area of Mixed Shapes
Name:
Date:
Score:
Read each question carefully. Calculate the area of each composite shape shown. Show all your work.
1. Find the area of the shape below. (Hint: It's a rectangle with a triangle on top).
Show your work:
Area:
2. Calculate the area of the composite figure shown below (a semicircle on top of a square).
Show your work:
Area:
3. A rectangular garden measures 12 meters by 8 meters. A circular pond with a radius of 3 meters is in the center of the garden. The area of the garden NOT covered by the pond is square meters. (Use $\pi \approx 3.14$)
4. Which of the following is the correct formula for the area of a trapezoid?
$A = \frac{1}{2}bh$
$A = lw$
$A = \frac{1}{2}(b_1 + b_2)h$
$A = \pi r^2$
5. A complex shape is made of a rectangle (10 cm by 6 cm) attached to a triangle with a base of 10 cm and a height of 4 cm. What is the total area of this shape?
Related Worksheets
Three-Dimensional Figures Worksheet
This worksheet focuses on identifying, understanding properties, and calculating basic measurements of three-dimensional figures for Grade 8 math students.
Grade 8 Lateral Area Worksheet
Calculate the lateral surface area of various three-dimensional shapes, including cylinders, prisms, and pyramids.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Distance on the Coordinate Plane
Calculate the distance between two points on a coordinate plane using the distance formula and Pythagorean theorem.
Similar Polygons Worksheet
Grade 8 math worksheet focusing on understanding and identifying similar polygons, including finding missing side lengths and angles.
Grade 8 Area Formulas Worksheet
Reinforce understanding of area formulas for various geometric shapes including triangles, rectangles, circles, and trapezoids for Grade 8 math students.
Distance and Midpoint Worksheet
Practice calculating distance and midpoint between two points on a coordinate plane.