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11 February, 00:21

A scale drawing of a square object has a scale of 1 in. : 5 mm. The scale drawing has a length of 2.5 inches. Find the perimeter and the area of the object in the scale drawing. Then find the perimeter and area of the actual object.

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  1. 11 February, 00:30
    0
    The perimeter of the actual object is 50 mm.

    The area of the actual object is 156.25 mm square

    Step-by-step explanation:

    Given

    Shape: Square

    Scale: 1 in : 5 mm

    Length of Scale Drawing = 2.5 in

    Required:

    - Perimeter of Actual Object

    - Area of Actual Object

    Calculating the perimeter of the actual object

    Provided that the shape is a square;

    The perimeter of the actual object is calculated by

    Perimeter = 4 * Length

    Recall that the scale is 1 in : 5 mm

    This means 1 in on the scale represents 5 mm of the actual measurements of the object.

    So, if 1 in ≈ 5 mm, then

    2.5 in ≈ 2.5 * 5 mm

    2.5 in = 12.5 mm

    So, Length = 12.5mm

    Now, the perimeter of the actual object can be calculated.

    P = 4 * 12.5mm

    P = 50mm

    Hence, the perimeter of the actual measurements is 50 mm.

    Calculating the area of the actual object

    The area of the actual object is calculated by

    Area = Length * Length

    Recall that Length = 12.5 mm as calculated above

    So,

    Area = 12.5 * 12.5

    Area = 156.25 mm square

    Hence, the area of the actual object is 156.25 mm square
  2. 11 February, 00:39
    0
    Perimeter and area of drawing

    Perimeter = 10 In

    Area = 6.25 In²

    Perimeter and area of object

    Perimeter = 51.836 mm

    Area = 167.936 mm²

    Step-by-step explanation:

    We are dealing with a square object, so let's talk about the drawing first.

    The length of one side = 2.5 In

    Perimeter of square = 4L

    Perimeter = 4*2.5

    Perimeter = 10 In

    Area = L*L

    Area = 2.5*2.5

    Area = 6.25 In²

    Letd note that 1 inch =

    25.4 millimetres

    So 2.5 Inch = 2.5 * 25.4

    2.5 In = 63.5 mm.

    25.4 mm is to 5mm

    63.5 mm is to (63.5*5) / 24.5

    63.5mm is to 12.959 mm

    So the length of actual object is 12.959mm

    The perimeter = 4*12.959

    Perimeter = 51.836 mm

    Area = 12.959²

    Area = 167.936 mm²
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