The perimeter of a rectangle is 148mm. The height is fourteen more than three times the base. What is the area?

Expert Answers

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The perimeter is two times the base plus two times the height and equals 148.


The height is 14 more than three times the base.


Write as a system of two equations with two unknowns.

H+B=74   (1)

H-3B=14  (2)

Multiply (1) by -1 and add to (2) to solve by elimination.






Substitute 15 for B in (1) and solve for H.


To verify substitute 59 for H and 15 for B in (2).



Calculate the area of the rectangle.


Substitute 15 for B and 59 for H.


Thus the area of the rectangle is 885 mm.

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