Math CentralQuandaries & Queries


Question from Pauline, a parent:

A rectangle has an area of 27 squared inches. the height is 3 times the base
What is the perimeter of the rectangle?

Hi Pauline,

The area of a rectangle is the length times the width. This question calls the length "height" and the width "base" so if you let h be the height in inches and b the base in inches then the first sentence says

h × b = 27

The second sentence says that h is 3 time b, that is

h = 3 × b

Substitute 3 × b for h in the first equation which results in an equation for b. Solve for b and then find h from h = 3 × b.


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