Chapter 2.1 National Math Module

Two parcels of land priced at $1,500 per acre were purchased. One parcel was 25 acres in size and the other was 1 mile square in size. How much did these two parcels cost together? $965,000 $979,500 $997,500 $960,000

$997,500 First, calculate the total number of acres. If a parcel is 1 mile wide by 1 mile deep, that's a section which is 640 acres. A linear mile is 5,280' L x 5,280' W = 27,720,000 sq/ft ÷ 43,560 = 640 acres. 640 acres + 25 acres = 665 total acres; 655 acres x $1,500 per acre = $997,500

A rancher has a rectangular 40 acre piece of property fronting a highway. He wants to put a barbed-wire fence along his road frontage. How much fence does he need if his property depth is 1,200'? 1,200' 4,173' 1,612' 1,452'

1,452' 40 acres x 43,560 SF/Acre = 1,742,400 SF 1,742,400 ÷ 1,200' = 1,452' front footage

An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot? 109 feet 400 feet 174 feet 250 feet

109 feet

A seller leaves a buyer approximately one half of a tank of heating oil at the closing. If the tank measures 4' x 2' x 3', how many cubic feet did the buyer receive? 8 cubic feet 24 cubic feet 12 cubic feet 24 square feet

12 cubic feet

John bought an odd-shaped lot that was 100 feet deep, but the front footage was 160 feet and the length of the back side of the lot was 80 feet. What is the square footage of his lot? 16,000 SF 8,000 SF 24,000 12,000 SF

12,000 SF 160' + 80' = 240' 240' ÷ 2 = 120' new length 120' L x 100' D = 12,000 S

Andre owned a 1/4 acre lot. He wanted to construct a 120' x 80' tennis court on the lot. How many square feet will remain uncovered after he builds the tennis court? 1,290 SF remaining 2,580 SF 9,600 SF The court will not fit on the lot.

1290 SF remaining 43,560/4 (cutting an acre into quarters, as he owns only a quarter of it)= 10,890 120x80= 9,600 10,890-9,600= 1,290

Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home. If the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width, what is the GLA of the house? 1,024 SF 2,048 SF 3,072 SF 4,096 SF

2,048 SF 16' D x 2 = 32' D; 32' D x 64' W = 2,048 SF

If an investor wants to combine a 3/4 acre parcel with a 1.6 acre parcel, how big will the parcel be, expressed as a decimal? 2.35 acres 2.5 acres 2.6 acres 2.85 acres

2.35 acres 3/4 = 0.75 0.75 + 1.6 = 2.35

Stacey owns a lot that has 180 feet of front footage and contains 36,000 square feet. She purchases two lots adjacent to each side of his lot. These side lots are each 200 feet deep and contain 19,000 square feet. What is the total front footage of all three lots? 190 200 275 370

370 First, calculate the depth of the original lot: 36,000 ÷ 180 = 200; Next, calculate the front footage of the side lots using the area: 19,000 ÷ 200 = 95. Total up the front footage dimensions: 95 + 180 + 95 = 370 total front footage.

Calculate how many acres are in the Southwestern 1/4 of the Northern 1/2 of the Eastern 1/2 of Section 14. 20 40 80 120

40 1 section = 640 acres, 4 x 2 x 2 = 16; 640 ÷ 40 acres

If a square-shaped lot measures 200' on one side, what is the square footage of the lot? 4,000 40,000 400 40

40,000

A commercial builder has a downtown lot with 250 frontage feet on Broadway. The lot is 200' deep. By code, the builder must allow for a 15' setback on Broadway, and 10' on both sides of the lot. How many square feet does the builder have left to build on? 46,000 SF 50,000 SF 42,300 SF 42,550 SF

42,550 SF 250 Front Feet - 20 feet = 230 front feet 200 - 15 setback = 185 feet; 230 X 185 = 42,550

A developer wants to develop a 20-acre subdivision. He figures that the streets and common area will take up about 25% of this overall area. If the minimum lot size is to be 10,000 SF, how many lots can the developer have on this property? 43 65 86 66

65 20 x 43,560 = 871,200 871,200 - 25% = 653,400 653,400/ 10,000 = 65.34