Final answer:
To find the width of each house along 13 Short Street, the total pavement width is subtracted from the street length and the result is divided by the number of houses. The distance to the telephone kiosk cannot be determined with the given information. The number of kerb blocks is calculated by dividing the total pavement length by the length of a block and the number of street lights is determined by dividing the street length by the spacing between lights.
Step-by-step explanation:
The problem states that 13 Short Street is 63 meters in length and has terraced houses of equal width on both sides. Each side also has a pavement that is 3.15 meters wide extending around both ends of the street.
a. Width of Each House
To find the width of each house, first calculate the total width available for houses on one side of the street by subtracting the total pavement width for both sides from the street's length:
Width available for houses = Total street length - 2 × Pavement width
Width available for houses = 63 m - 2 × 3.15 m = 63 m - 6.3 m = 56.7 m
Since there are six houses on each side, divide this figure by 6:
Width of each house = Width available for houses / Number of houses
Width of each house = 56.7 m / 6 ≈ 9.45 m
b. Distance to Telephone Kiosk
The distance from the western end of the street to the telephone kiosk, expressed as a fraction of the length of the street, depends on the location of the kiosk. However, that information is not provided, so this calculation cannot be completed.
c. Number of Kerb Blocks Lining the Pavements
The total length of pavement is the length of the street plus the widths around the corners:
Total pavement length = Street length + 2 × Pavement width
Total pavement length = 63 m + 2 × 3.15 m = 63 m + 6.3 m = 69.3 m
Since there are pavements on both sides, double this figure:
Total length of both pavements = 2 × Total pavement length
Total length of both pavements = 2 × 69.3 m = 138.6 m
To find the number of kerb blocks, divide the total length of both pavements by the length of one block:
Number of kerb blocks = Total length of both pavements / Block length
Number of kerb blocks = 138.6 m / 0.84 m
Number of kerb blocks ≈ 165 blocks
d. Number of Street Lights Along the Pavements
There is a street light in line with each of the four terrace ends, and they are spaced 18.9 m apart. Therefore, the number of street lights is the length of the street divided by the spacing plus one for the initial light:
Number of street lights = (Street length / Light spacing) + 1
Number of street lights = (63 m / 18.9 m) + 1 ≈ 4.33, rounded down to 4, plus 1 for the initial light.
Number of street lights = 4 + 1 = 5 lights
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