Question

5. How many squares represent 1 m for each of the following scales?
a) 1 square : 1 m
b) 1 square : 25 cm
c) 1 square : 20 cm
d) 1 square : 0.5 m

Answers

  1. The number of squares of the given scales required to make a square of 1 m is:
    a) 1 square: 1 m = 1.
    b) 1 square: 25 cm = 16.
    c) 1 square: 20 cm = 25.
    d) 1 square: 0.5 m = 4.
    In the question, we are asked the number of squares of the given scales required to make a square of 1 m.
    The area of the square of 1 m is 1 m * 1 m = 1 m² = 10000 cm².
    a) 1 square: 1 m
    The area of the given square = 1 m * 1 m = 1 m².
    The area of the required square = 1 m².
    The number of squares required = The area of the required square/The area of the given square,
    or, the number of squares required = 1 m²/1 m² = 1.
    b) 1 square: 25 cm.
    The area of the given square = 25 cm * 25 cm = 625 cm².
    The area of the required square = 10000 cm².
    The number of squares required = The area of the required square/The area of the given square,
    or, the number of squares required = 10000 cm²/625 cm² = 16.
    c) 1 square: 20 cm.
    The area of the given square = 20 cm * 20 cm = 400 cm².
    The area of the required square = 10000 cm².
    The number of squares required = The area of the required square/The area of the given square,
    or, the number of squares required = 10000 cm²/400 cm² = 25.
    d) 1 square: 0.5 m
    The area of the given square = 0.5 m * 0.5 m = 0.25 m².
    The area of the required square = 1 m².
    The number of squares required = The area of the required square/The area of the given square,
    or, the number of squares required = 1 m²/0.25 m² = 4.
    Thus, the number of squares of the given scales required to make a square of 1 m is:
    a) 1 square: 1 m = 1.
    b) 1 square: 25 cm = 16.
    c) 1 square: 20 cm = 25.
    d) 1 square: 0.5 m = 4.
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