Geometry word problems, step by step
A garden, a rug, a picture frame — the shape is described in words and never drawn.
The question
What is the distance all the way around it, in meters?
The tennis court at Jordan's sports club is a rectangle 11 meters long and 8 meters wide.
The tennis court at Jordan's sports club is a rectangle 11 meters long and 8 meters wide.
numbers:2(11 + 8)
2 × (11 + 8)
asked:What is the distance all the way around it, in meters?
2 × (11 + 8) =38
38 meters
- Read it through once. Grabbing the numbers on the first read means choosing an operation before you know the story, and that choice is the only hard part of a word problem.
- Now the numbers: 2 and (11 + 8). Finding them is not the same as knowing what to do with them — that comes next, and it comes from the story rather than from the numbers.
- Equal groups, counted up all at once. So this one is a multiplication: 2 × (11 + 8).
- 2 × (11 + 8) = 38 meters. And answer the question that was ASKED — "What is the distance all the way around it, in meters?" — in meters, because the sum on its own is not yet an answer.
How it works.
- 01
Read it through once. Grabbing the numbers on the first read means choosing an operation before you know the story, and that choice is the only hard part of a word problem.
- 02
Now the numbers: 2 and (11 + 8). Finding them is not the same as knowing what to do with them — that comes next, and it comes from the story rather than from the numbers.
- 03
Equal groups, counted up all at once. So this one is a multiplication: 2 × (11 + 8).
- 04
2 × (11 + 8) = 38 meters. And answer the question that was ASKED — "What is the distance all the way around it, in meters?" — in meters, because the sum on its own is not yet an answer.