Name: Rachel

Who is asking: Student
Level: Middle

Question:
a rectangular picture frame has a perimiter of 44.2 cm.The width of the frame is seven tenths of its length what are the dimensions of the frame?

Hi Rachel,

Draw a diagram. Label the length as L cm and the width as W cm.

The perimeter is the total distance around the frame. There are two sides of length L cm and two sides of length W cm. Hence the perimeter is 2L + 2W. That is

2L + 2W = 44.2

ou also know that "The width of the frame is seven tenths of its length", hence

W = 7/10 L.
Thus

2L + 2( 7/10 L) = 44.2

Solve this equation for L and then use the fact that W = 7/10 L to find W.

Cheers,
Penny
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