AlgebraMediumHeight of a picture from a fractional ratio and perimeter
Algebra practice question
The width of a rectangular picture is two thirds of its height, and the perimeter of the picture is 100 centimetres. What is the height of the picture, in centimetres?
Answer: 30
Let the height be h; the width is (2/3)h. Perimeter: 2(h + (2/3)h) = (10/3)h = 100 → h = 30.
Common wrong answers
- If you answered 20
- 20 is the width.
- If you answered 50
- 50 is half the perimeter, the height plus the width.
- If you answered 37.5
- 37.5 comes from 2(h + (1/3)h) = 100, using the wrong fraction.
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