Reshma S.

asked • 09/23/16

Algebra question

A rhombus is inscribed in a rectangle that is W meters wide with a perimeter of 24 m.  Each vertex of the rhombus is a midpoint of a side of the rectangle . Express the area of the rhombus as a function of the rectangle width.

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Mark M. answered • 09/23/16

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The area of the rhombus is one-half the area of the rectangle.
(Draw a diagram to confirm this assertion.)
Arhombus = 0.5(w)(12 - w)
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Reshma S.

can you provide me with the steps to solve this question i am more visual.
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09/23/16

Mark M.

Draw a rectangle of any dimensions.
Connect the midpoints of each side.
The four triangles "outside" of the rhombus equal in area to the rhombus.
Do you want a formal geometric proof?
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09/23/16

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