A rectangle has area 135 square feet and width 9 feet. What is its perimeter?
Reasoning strategy
Find the missing length first, then use perimeter.
Difficulty Practice Guide
Medium Grade 7 Geometry & Formulas Word Problems
This page shows what medium practice should demand for grade 7 geometry & formulas word problems. The goal is not a larger worksheet. The goal is to make the student's reasoning visible enough to choose the next better problem.
What Changes At This Difficulty
Add one meaningful reasoning layer so students must plan before calculating.
Expected structure: 3-4 step problem solving.
Vocabulary load: high with intentional distractors.
Reasoning depth: at least 3 relationship layers.
Student Work Signals
A good medium problem should expose the bottleneck
MathRoutine watches for whether the student understood the situation, wrote a useful setup, handled the calculation, and answered the exact question asked.
1
separate useful numbers from background details
2
complete a two-step setup
3
interpret the result with the correct unit
Sample Problems
A triangle has area 72 square centimeters and base 16 centimeters. What is its height?
Reasoning strategy
Use A = 1/2 bh and solve for the missing height.
Why This Matters
The paid value is diagnosis, not answer lookup
Basic gives repeated targeted practice. Pro becomes useful when the student needs help understanding wording, recovering the setup, or seeing the same misconception return across attempts.
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