This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters

(In the diagram shown, assume each square on the grid is 1 centimeter in length.)

What is the area, in square meters, of the actual park?

What is the scale factor?

This diagram of a rectangular city park was drawn using a scale of 1 centimeter to 20 meters In the diagram shown assume each square on the grid is 1 centimeter class=

Respuesta :

Answer:

Scale factor for the drawing from actual park = [tex]\frac{1}{20}[/tex]

Area of the actual park = 1200 cm²

Step-by-step explanation:

Length of the rectangular city park = 5 cm

Width of the rectangular park = 6 cm

Using scale factor 1 cm = 20 meters

Scale factor = [tex]\frac{\text{length of the park in drawing}}{\text{Actual length of park}}=\frac{1}{20}[/tex]

[tex]\frac{5}{\text{Actual length of park}}=\frac{1}{20}[/tex]

Actual length = 5 × 20 = 100 meters

Actual width = 6 × 20 = 120 meters

Area of the rectangular park = length × width

                                               = 100 × 120

                                               = 1200 square meters

Therefore, Scale factor from actual length to the length in drawing = 1 : 20

Area of the rectangular park = 1200 square feet

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