Mathematics Grade 7 15 min

Area of complex figures (Advanced)

Area of complex figures (Advanced)

What you'll learn

  • Apply the long division algorithm to divide a polynomial by another polynomial of equal or lesser degree, expressing the result as a quotient and remainder with 80% accuracy on a summative assessment.
  • Identify the dividend, divisor, quotient, and remainder in a polynomial long division problem and explain their relationship using precise mathematical vocabulary in a written response with no more than two errors.
  • Solve polynomial division problems, including those with missing terms, by inserting placeholders (zero coefficients) and correctly applying the long division algorithm in at least 4 out of 5 practice problems.
  • Explain the connection between polynomial long division and numerical long division, highlighting the similarities and differences in a short paragraph demonstrating comprehension.

Tutorial Preview

1

A figure is made of a 4x3 rectangle and a 2x5 rectangle joined together. What is its area?

2

A 10x8 rectangle has a 4x3 rectangle cut from it. What is the remaining area?

3

A figure has a 5x4 rectangle with a triangle on top. The triangle's base is 5 and height is 6. Find the total area.

Sample Practice Questions

Easy
An L-shape is formed by a 2x6 rectangle and a 3x2 rectangle. What is its total area?
0.18
1.16
2.20
3.13
Easy
A T-shape is made from a 5x2 rectangle and a 2x4 rectangle. What is the area?
0.18
1.22
2.14
3.26
Easy
A 5x5 square has a 2x3 rectangle cut out. What is the remaining area?
0.19
1.25
2.6
3.21

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Geometry, Area & Perimeter

Mathematics for other grades

Frequently asked questions

What grade level is "Area of complex figures (Advanced)"?

Area of complex figures (Advanced) is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Area of complex figures (Advanced)?

You'll be able to: Apply the long division algorithm to divide a polynomial by another polynomial of equal or lesser degree, expressing the result as a quotient and remainder with 80% accuracy on a summative assessment; Identify the dividend….

Is "Area of complex figures (Advanced)" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Area of complex figures (Advanced)?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.