##### I need help with a question regarding converting of units

 Algebra Tutor: None Selected Time limit: 1 Day

In the United States, land is measured in acres and one acre is  sq ft.

A newspaper advertisement states that all lots in a new housing development will be a minimum of one and a half acres. Assuming the lot is rectangular and has  ft of frontage, how deep will the minimal-size lot be?

ft

If the new home owner wants to fence in the lot, how many yards of fencing would be needed?

yards

Oct 15th, 2015

1 acre = 43560 sq.ft

One and a half acres :
43,560 * 1.5 = 65,340 sq ft

depth of lot :  [ if frontage=160 ft ]
65,340 / frontage = 65,340/160 = 408.375 ft  = 408.4 ft

And If the new home owner wants to fence in the lot, how many yards of fencing would be needed?

Perimeter=2 times the length plus 2 times the width

160 + 160 + 408.4 + 408.4 = 1136.8 ft.

1 yard = 3 feet

1136.8 / 3 = 378.9333 yards = 378.9 yards

Oct 15th, 2015

What would it be if the lot had a frontage of 120 ft

Oct 15th, 2015

depth of lot :  [  frontage=120 ft ]
65,340 / frontage = 65,340/120 = 544.5 ft

And If the new home owner wants to fence in the lot, how many yards of fencing would be needed?

Perimeter=2 times the length plus 2 times the width

160 + 160 + 544.5 + 544.5 = 1409 ft.

1 yard = 3 feet

1409/ 3 = 469.6667 yards = 469.7 yards

P.S: please award me with more money am in desperate need of it. Thank you

Oct 15th, 2015

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Oct 15th, 2015
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Oct 15th, 2015
Dec 5th, 2016
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