Question

Se muestran las dimensiones de una piscina olimpica. Un dibujo a escala de la piscina tiene dimensiones de 50 centimetros por 100 centimetros y una diagonal que mide aproximadamente 112 centimetros. A. ¿Cuál es la escala del dibujo en centímetros a metros? B. ¿Cuál es la longitud real de la diagonal de la piscina? Budwes Bus 25 m 2. 5 cm Otro dibujo a escala de la misma piscina olimpica tiene una escala de 1 m ¿Cuáles son las dimensiones del dibujo?

Answer 1

A. Calculate the quotient between the real length of the sides of the pool and the lengths of the scale. To be able to calculate the quotients, it is ncessary to have the values of cm in m:

50 cm = 0.5m

100cm = 1m

112cm = 1.12m

Then:

50m/1m = 50

25m/0.5m = 50

as you can notice, the scale factor is 50

B. The real length of the diagonal of the pool is calculate by calculating the product of 1.12m with the scale factor:

1.12m x 50 = 56 m

C. For a drawing with a scale of 5cm/1m, you have that each 1m of the pool means 5cm of the drawing. Then, for 50m you have:

5 cm x 50 = 250 cm

and for 25 m:

5 cm x 25m = 125 cm

Hence, the dimensions of the drawing are 250cm x 125 cm