A rectangular lot with 1,250' of frontage contains 40 acres. The adjacent lot has a front footage of 2,000'. If both lots are the same depths, how many acr... [Show More] es are in the second lot?
Select one:
a. 48
b. 56
c. 64
d. 72 - correct answer Lot 1: 40 X 43,560 = 1,742,400 square feet. 1,742,400 / 1250 (1st frontage) = 1,393.92 (depth of both lots). Lot 2: 2,000 (front) X 1,393.92 (depth) = 2,787,840 square feet. 2,787,840 / 43,560 = 64 acres.
The correct answer is: 64
If one rectangular lot with 1350' of frontage contains 25 acres, how many acres would the lot next to it contain if it has a 900' frontage and is the same width as the first lot?
Select one:
a. 1.67 acres
b. 16.67 acres
c. 26.00 acres
d. 14.67 acres - correct answer Area = Length X Width. Lot 1: 43,560 (sq. ft. in acre) X 25 acres = 1,089,000 sq. ft. We know that 1,089,000 sq. ft. = Width X 1,350' (length). Therefore 1,089,000 / 1,350 = Width or 806.67. The problem told us that the lots were the same width. Lot 2: Area = 806.67' (width) x 900' (length) = 726,000 sq. ft. Therefore: 726,000 (area) / 43,560 = 16.67 acres.
The correct answer is: 16.67 acres
A parcel with which of the following dimensions would contain exactly one acre? - correct answer An acre contains 43,560 square feet. Only one of the choices is that size. 125' X 340' = 42,500 square feet. 150' X 250' = 37,500 square feet. 110' X 396' = 43,560 square feet. 175' X 223' = 39,025 square feet.
The correct answer is: 110'; X 396';.
A lot measuring 250' x 609.84' is sold at a price of $5,000 per acre. What was the selling price?
Select one:
a. $52,460
b. $27,500
c. $17,500
d. $15,500
Feedback
250 - correct answer 250' x 609.84' = 152,460 sq. ft. / 43,560 (sq. ft. per acre) = 3.5 acre. 3.5 acre X $5,000 per acre = $17,500.
The correct answer is: $17,500
A rectangular parcel of land is 990 feet long and contains 12.5 acres. What is the width of this parcel?
Select one:
a. 425 feet.
b. 550 feet.
c. 625 feet.
d. 750 feet. - correct answer 12.5 acres X 43,560 = 550,400 square feet. 550,400 square feet divided by 990 feet = 550 feet wide.
The correct answer is: 550 feet.
A parcel of vacant land measures 1,650 feet by 2,376 feet. If the land is valued at $15,000 per acre, what is the value of the land?
Select one:
a. $875,000.
b. $1,150,000.
c. $1,350,000.
d. $1,500,000. - correct answer 1,650 feet X 2,376 feet = 3,920,400 divided by 43,560 = 90 acres. 90 X $15,000 = $1,350,000.
The correct answer is: $1,350,000.
A developer owns a tract of land that measures 2,000' by 1,775'. He plans to develop the tract into two-acre building lots. The county requires that he dedicate 13% for streets and public use and another 7% must remain in its natural state. How many building lots will the developer be able to create?
Select one:
a. 32
b. 33
c. 64
d. 68 - correct answer The tract of land contains: 3,550,000 sq. ft. (2,000' by 1,775'). 20% must be dedicated: 710,000 sq. ft. Available to develop: 2,840,000. Each lot will require 87,120 sq. ft. (43,560 x 2) 2,840,000 / 87,120 = 32.589 or 32 building lots. You must round down to 32, otherwise each lot will be less than 2 acres.
The correct answer is: 32
What is the number of square feet in a lot (trapezoid) that measures 95' along the front, 105' along the back, and 145' from front to back?
Select one:
a. 12,600
b. 13,775
c. 14,500
d. 15,225
Feedback - correct answer et up problem. B1 + B2 / 2 X H = Area. 95 + 105 / 2 = 100. 100 X 145 = 14,500 square feet.
The correct answer is: 14,500
A rectangular parcel of land is 1,485 feet long and contains 37.5 acres. What is the width of this parcel?
Select one:
a. 550 feet.
b. 825 feet.
c. 1,100 feet.
d. 1,250 feet. - correct answer 37.5 acres X 43,560 square feet = 1,633,500 square feet. 1,633,500 square feet divided by 1,485 feet = 1,100 feet wide.
The correct answer is: 1,100 feet.
What is the area of a lot that measures 120' by 164'?
Select one:
a. 196 sq. ft.
b. 1,968 sq. ft.
c. 19,680 sq. ft.
d. 21,600 sq. ft. - correct answer Area = Length X Width. Area = 164' X 120' = 19,680 sq. ft. Read your calculator carefully.
The correct answer is: 19,680 sq. ft.
The plans for a house indicate a scale of 1/4" = 1 foot. If the living room is shown as 8 1/2" by 6 3/4", what is the cost to carpet the room if carpet is $2.70 per square yard?
Select one:
a. $45.90
b. $91.80
c. $275.40
d. $826.20
Feedback - correct answer On a ruler there would be 4' to each inch. 8.5" x 4 = 34 feet. 6.75" x 4 = 27 feet. 34' x 27' = 918 square feet. 918 / 9 sq. ft. per y= 102 square yards. 102 x $2.70 = 275.4 = $275.40.
The correct answer is: $275.40
What is the cost to build a sidewalk 3' wide and 4" deep around the inside perimeter of a lot 100' x 150', if the price of concrete is $24 a cubic yard? Draw a picture.
Select one:
a. $433.34
b. $444.44
c. $1,301.33
d. $1,333.33
Feedback - correct answer 100' + 100' + 144' + 144' = 488'. 144' is used instead of 150' because there is a 3' overlap at each end of two sides. 488' x 3' = 1,464 square feet. 1,464 sq. ft. x .333 (4" is 1/3 of a foot) = 487.5 cubic feet. 487.5 / 27 = 18.056 cubic yards. 18.056 x $24 = $433.34.
The correct answer is: $433.34
Tom built a 28' x 140' rambler, with garage. The average cost of construction was $11.25 per square foot. What is the total cost of the house?
Select one:
a. $441,000
b. $63,250
c. $44,100
d. $4,410 - correct answer 28' X 140' = 3,920 sq. ft. of construction. 3,920 X $11.25 (per sq. ft.) = $44,100 total cost.
The correct answer is: $44,100
Fred and Ethyl are building a new house which measures 65' X 35' and has a construction cost of $115 per square foot. The garage will measure 20' X 24' and has a construction cost of $50 per square foot. What will be the total cost of the project?
Select one:
a. $235,195.
b. $261,625.
c. $285,625.
d. $301,495. - correct answer Cost of house: 65' X 35' = 2,275 sq.ft. X $115 = $261,625. Cost of garage: 20' X 24' = 480 sq.ft. X $50 = $24,000. $261,625 + $24,000 = $285,625.
The correct answer is: $285,625
A lot measures 105' square. Zoning requires a front setback of 30', rear setback of 25', and side setbacks of 15'. What is the maximum square footage, of a single story structure, that could be built on this property? Draw a picture.
Select one:
a. 3,750
b. 4,500
c. 5,600
d. 11,025 - correct answer 105 - 55 (total of front & rear setbacks) = 50 deep. 105 - 30 (total of side setbacks) = 75 wide. 50 x 75 (maximum structure) = 3,750 sq. feet.
The correct answer is: 3,750
A developer purchased 30 acres of raw land which is zoned for single-family residential use. The applicable zoning ordinance states that the minimum lot size is 9,000 square feet. 25% of the land must be set aside for streets, schools and parks. What is the maximum number of homes which the developer can build in this project?
Select one:
a. 109.
b. 108.
c. 100. - correct answer 30 acres X 43,560 square feet per acre = 1,306,800 square feet. Set aside: 1,306,800 square feet X .25 = 326,700 square feet. Buildable square footage: 1,306,800 gross square footage - 326,700 = 980,100 square feet. Number of lots: 980,100 square feet divided by 9,000 square feet minimum lot size = 108.90. This must be rounded down to 108 lots as the remainder is not large enough to meet the minimum lot size.
The correct answer is: 108.
A homeowner is having new carpet and pad installed in his house. The area to be carpeted measures 16'6" X 15'. The cost of the carpet is $19.95 per square yard and the padding is an additional $5.00 per square yard. How much will it cost to install the carpeting?
Select one:
a. $548.63
b. $686.13
c. $2,058.39
d. $6,175.13 - correct answer The area to be carpeted is 16.5' X 15' or 247.5 sq. ft. There are 9 sq. ft. in one sq. yard. 247.5 sq. ft. / 9 = 27.5 sq. yds. of carpet and pad. 27.5 sq. yds. X $24.95 (carpet $19.95 + pad $5.00) = $686.13.
The correct answer is: $686.13
A parcel of land measures 1,760 feet by 1,584 feet. If this parcel was sold for $8,000 per acre, what is the sale price? [Show Less]
