Math CentralQuandaries & Queries


Question from cristine, a student:

the area of a rectangle is
if the width is 1/3 of the length.
find the dimensions of the rectangle....

Hi Cristine,

If the length of a triangle is L cm and the width is W cm then the area is L × W sq cm. Use this to put your question in mathematical form.

  1. the area of a rectangle is


    L × W = 675 sq cm

  2. the width is 1/3 of the length


    W = 1/3 × L cm

Substitute the second equation into the first

L × 1/3 × L = 675 sq cm


1/3 L2 = 675 sq cm.

Solve for L.


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