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Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a scale of 1 to 40.

a. Mai’s kitchen door is 1.2 m wide. How wide should the door be on the scale drawing (in cm)? Explain how you know.

b. Mai’s kitchen table measures 4 cm by 2.5 cm on the scale drawing. What are the actual measurements of her kitchen table? (Answer should be written as ___ m by ____ m)

Respuesta :

Answer:

a. The width of the door on the scale drawing is 3 cm

b. The actual measurement is 1.6 m by 1 m

Step-by-step explanation:

The dimensions of Mai's kitchen are;

Length = 6 m

Width = 2 m

The scale of the scale drawing Mai wants to make draw = 1 to 40

The scale of Mai's drawing 1 m actual length is 1/40 m on the drawing

a. The width of Mai's kitchen door = 1.2 m

The width of the door on the scale drawing = Actual width × Ratio of scale of drawing

∴ The width of the door on the scale drawing = 1.2×1/40 = 0.03 m

∵ 1 m = 100 cm

∴ 0.03 m= 3 cm

The width of the door on the scale drawing = 3 cm

b. The measurement of Mai's kitchen table on the scale drawing are;

4 cm by 2.5 cm

Therefore, the actual measurements are;

Actual measurement = Drawing measurement × 1/(Scale of drawing)

Actual measurement = 4 cm × 1/(1/40) = 4 × 40 = 160 cm

∵ 1 m = 100 cm

∴ 160 cm= 1.6 m

Actual measurement = 2.5 cm × 1/(1/40) = 2.5 × 40 = 100 cm

∵ 1 m = 100 cm

∴ 100 cm= 1 m

The actual measurement is therefore;

1.6 m by 1 m

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