Question

Jared wants to make a scale drawing of his bedroom. His bedroom is a rectangle with a length of 600 cm and width of 400 cm. He decided on a scale of 1 to 50. 1.Jared's bedroom door is 60 cm wide. How wide should the door be on the scale drawing? Explain how you know. 2.Jared's bed measures 4 cm by 5 cm on the scale drawing. What are the actual measurements of his bed?

Answer 1

Answer:

(1) 1.2 cm

(2) 200 cm by 250 cm

Step-by-step explanation:

The scaled dimention = (Actual dimension) x (scale factor) ...(i)

The given scale factor =1/50

(1) The actual width of the bedroom door= 60 cm.

So, from equation (i),

the width of the door on the scale drawing= 60 x (1/50)=1.2 cm

(2) The scaled dimension of the bed is 4 cm by 5cm.

So, the scaled width of the bed = 4cm and

the scaled length of the bed = 5cm.

So, from equation (i),

4 cm = (Actual width) x (1/50)

So, Actual width = 50 x 4 cm = 200 cm.

And, 4 cm = (Actual length) x (1/50)

So, Actual width = 50 x 5 cm = 250 cm.

=Hence, the actual measurements of his bed is 200 cm by 250 cm.