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Geometry Word Problems
Geometry word problems put area, perimeter, volume, and angle calculations into real contexts — fencing a garden, painting a room, filling a tank, or cutting material to size. You're usually given some dimensions and a constraint (a budget, a fixed amount of material, a required volume) and asked to find the missing measurement. What makes these problems interesting is that they often combine geometry with algebra: "A rectangular room is 6 meters longer than it is wide, and its perimeter is 44 meters. Find the dimensions." You need to know the geometry formula and set up the equation, which is a two-layer problem that tests both skills at once.
Cylinder Surface Area Scaling Problem
Compare surface areas of cylinders. Understand how diameter scaling affects total liner needed for pools.
Paint Wall Around Whiteboard
Calculate paint needed when wall is 24×15 ft but whiteboard is 12×7 ft. Find area to paint and cans required (75 sq ft per can).
Diagonal Cut Rectangle
Cut a 60×63 rectangle corner-to-corner. Use Pythagorean theorem to find diagonal length.
Rectangle Perimeter Problem: Find Length & Width
A room is 6m longer than wide with 28m perimeter. Solve the system to find both dimensions.
Garden Perimeter & Area Problem
Solve for garden dimensions using perimeter 190ft and area 2100ft². System of equations with geometric context.
Shortest Distance: Pythagorean Theorem
Use Pythagorean theorem to find shortest distance home: 35 mi north, 42 mi west.