Real Estate Learning Group Chapter 18

When a farm sold, the brokerage firm was paid a 6% commission rate, or $18,000. The land sold for $1,500 per acre. The farm contained how many square feet?

$18,000 ÷ 6% = $300,000$300,000 ÷ $1,500 = 200 acres200 x 43,560 = 8,712,000 square feet

Uncle Buddy's farm contains 10,333,652 square feet. It sold for $1,050 per acre and the brokerage was paid a 5% commission. How much did the brokerage earn?

10,333,652 ÷ 43,560 = 237.23 acres $1,050 x 237.23 = $249,091.50 $249,091.50 x 5% = $12,454.58

Carrie purchased a farm and 12% was used for roads, 11% was unusable, and the remaining 190 acres were divided into lots that were 175' x 200'. How many acres did she buy?

12% - Roads11% - Unusable100% - 12% - 11% = 77% for lots 190 ÷ 77% = 246.75 acres

A vacant lot that measures 200' by 250' is listed for $1,890 per front foot. If the broker sells the lot at that price and is paid an 8% commission, what was the broker paid?

200 front feet x $1,890 per front foot = $378,000 Sale Price $378,000 x 8% = $30,240 Commission

An owner is putting up a new fence around a rectangular lot. If the lot measures 200' by 300' and the one gate is 5' long, how many linear feet of fence is needed?

200' + 300' + 200' + 300' = 1,000' 1,000' - 5' for the gate = 995 linear feet

How many cubic yards of concrete will it take to pour a sidewalk that measures 175' x 6' and is 3" thick?

3" ÷ 12 = .25 ft.V = 175' x 6' x .25'V= 262.50 cubic feet262.50 cu. ft. ÷ 27 = 9.7222 cubic yards

John bought 40 acres of land and reserved 175,000 square feet for roads. He divided the remainder into lots that are 200' by 225'. How many lots does he have?

43,560 x 40 acres = 1,742,400 sq. ft.1,742,400 - 175,000 = 1,567,400 sq. ft.A = 200' x 225' = 45,000 square feet1,567,400 ÷ 45,000 = 34.83 or 34 lots

A 9.3-acre lot sold for $419,000. What was the cost per square foot?

43,560 x 9.3 = 405,108 sq. ft.$419,000 ÷ 405,108 = 1.03429 or $1.03 per square foot

A home office is 25' x 16'. Carpet is $15.99 per square yard and installation is 95 cents per square foot. How much will it cost to carpet the room?

A = 25' x 16' = 400 square feet400 x .95 = $380 installation cost400 ÷ 9 = 44.44 per square yards $15.99 x 44.44 = $710.60$710.60 + $380 = $1,090.60

How many square feet are in this triangular shaped lot?

A=1⁄2BxHA = 1⁄2 (60') x 80'A = 2,400 square feet

A family room measures 25' by 25'. If carpet costs $18.99 per square yard, how much will it cost to carpet the family room?

A=LxWA = 25' x 25' A = 625 sq. ft. 625 sq. ft. ÷ 9 = 69.44 sq. yds.69.44 x $18.99 = $1,318.67

How many square feet are in a rectangular lot that measures 90' x 185'?

Area = L x WArea = 90' x 185'Area = 16,650 square feet

How many square feet are in the following diagram?

Area = [(Top + Bottom) ÷ 2] x Height A = [(175' + 200') ÷ 2] x 60'A = [ 187.5'] x 60'A = 11,250 square feet

How many square yards are in the following diagram?

Area AA = 125' x 75' = 9,375 square feet Area BA= 25' x 25' = 625 square feet 9,375 + 625 = 10,000 square feet 10,000 ÷ 9 = 1,111.11 square yards

How many square feet are in a circular lot that has a diameter of 90'?

If the diameter is 90', the radius is 45'. 90' ÷ 2 = 45'Area = π r2A = 3.1416 x 45' x 45' A = 6,361.74 square feet

An agent measures the interior rooms of a house as follows: Living room: 20' x 25'; kitchen: 15'x 25'; bedroom 1: 12' x 12'; bedroom 2: 15' x 15'; bedroom 3: 14' x 25'; bathroom 1: 4' x 10'; bathroom 2: 6' x 12'; and a hallway that is 4' x 15'. What is the total square footage of the interior of this home?

Living Room: A = 20' x 25' = 500 sq. feet Bedroom 1: A = 12' x 12' = 144 sq. feet Bedroom 3: A = 14' x 25' = 350 sq. feet Bathroom2:A=6'x12' =72sq.feet Kitchen: A = 15' x 25' = 375 sq. feet Bedroom 2: A = 15' x 15' = 225 sq. feet Bathroom 1: A = 4' x 10' = 40 sq. feet Hallway: A=4'x15'=60sq.feet 500+375+144+225+350+40+72+60=1,766 square feet