Problem 17 · Corner CourtyardPrint one blank worksheet now, or prepare a family or classroom packet.
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Corner Courtyard

Earn one jewelCalcite RhombLevel 2

The diagram shows an L-shaped courtyard. Every corner is a right angle, and all side lengths are in meters.

An L-shaped courtyard. Starting at the top edge and moving clockwise, the six side lengths are 8 meters, 4 meters, 3 meters, 5 meters, 5 meters, and 9 meters. Every corner is a right angle.
A bird’s-eye plan of the courtyard garden.

Draw the split on the courtyard. Use separate paper for your equation.

Split the courtyard into two nonoverlapping rectangles. Write an addition equation using the two rectangle areas, then find the total area in square meters.

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Full rating evidence

Difficulty & skills

Designed for Grade 3 · Uses Middle Grade 3 math · About 2–6 minutes

Grade 3 · Geometry · Measurement · Area and perimeter

MJ 3.6 · C2 · W1

MathJewels rates content readiness, problem-solving challenge, and workload separately. These estimates describe the easiest reasonable solution path and do not reveal the solution.

Content level

MJ 3.6

Grades 3–5

Grade 3 progression · point 6

Likely range
MJ 3.5–3.7
Confidence
87%

Challenge

C2 · Standard

The solver chooses and coordinates familiar methods.

  • Method selection1
  • Reasoning depth2
  • Novelty1
  • Constraint management1
  • Proof or justification0

Workload

W1 · Light

A short response with only a few steps.

Active time
2–6 minutes · typically 4
Response
Construction
Known-method steps
7
  • Mechanical execution1
  • Written output1
  • Representation production1
  • Bookkeeping1

Learning focus

Skills this problem practices

What a successful response demonstrates, with each skill’s share of the content rating.

  • Find rectangle area by multiplication

    Find the area of a rectangle with whole-number side lengths by multiplying the number of rows and columns of square units.

    • Independent mastery
    • 100% focus
    • MJ 3.6 milestone

Readiness

Helpful prerequisites

Skills the rating assumes are already available to the learner.

  • Multiply equal groups

    Represent and solve whole-number situations made from equal groups, including choosing and evaluating a multiplication equation.

    • Independent readiness
    • Required
    • MJ 3.2 milestone
  • Add and subtract whole-number quantities

    Combine and compare whole-number quantities in contextual problems and use addition or subtraction to find an unknown result.

    • Independent readiness
    • Required
    • MJ 2.7 milestone