Geometry

We have a 17 by 20-foot garden. We want to pour cement for a sidewalk 3 feet wide around the garden. To make the forms for the cement, we will need to buy some 2 by 4 inch lumber. How many feet of 2 by 4 inch lumber will we need just for the perimeter of the walk? (Consider both inside and outside perimeter.)

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  1. Perimeter = 2(width+length)

    For garden,
    width=17'
    length=20'
    perimeter(inside)=2(17+20)=74'

    For outside of sidewalk,
    width = 17+2*3'=23'
    length= 20+2*3'=26'
    perimeter(outside)=...

    Can you calculate the outside perimeter and add up the two perimeters?

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  2. 172

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