### Brain Teasers

# Some Algebra 2

The length of a rectangle is 9 centimeters more than half the width. Find the length if the perimeter is 60 centimeters.

### Hint

the length= 9+1/2 the width.60= 2width + 2 length

### Answer

Length is 16 cm and the width is 14 cm.Solution:

60cm=2width + 2 (9+1/2width)

Distribute the 2 and you get

60cm= 2width + 18 + 1width.

Combine the widths. And subtract 18 from both sides.

42cm= 3 width.

Divide both sides by 3 to get the length of the width.

Width=14cm. Then plug it into the equation for the length and you should get 16cm.

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