Question

A model of a boat is made on the scale of 1:4 the model is120 cm long the full size of the of the boat has width of 60 cm what is the width of the scale model

Answer 1

Answer:

15 cm

Step-by-step explanation:

Given :- A model of a boat is made on the scale of 1:4. The model is 120cm long. The full size of the boat has a width of 60cm.

Solution :-

→ Scale factor = 1 : 4

→ k = (1/4)

So,

→ Length of model = k * Length of the ship

→ 120 = (1/4) * Length of the ship

→ Length of the ship = 120 * 4 = 480cm.

Now, given that, full size of the boat has a width of 60cm.

So,

→ Area of actual boat = Length * width = 480 * 60 = 28800 cm².

Now, we know that,

→ Area of model = (k)² * Area of actual boat

→ 120 * width of model = (1/4)² * 28800

→ 120 * width of model = (1/16) * 28800

→ 120 * width of model = 1800 cm² .

dividing both sides by 120,

→ width of model = 15 cm. (Ans.)

Hence, width of model is 15cm.