Question

Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a scale of 1 to 50. Elena's bedroom door is 0.08 m. How wide should the door be on the scale drawing? Elena's bed measures 4 cm by 3 cm on the scale drawing. What are the actual measurements of her bed

Answer 1

Given:

Bedroom is a rectangle with length 5 m and width 3 m.

Elena's bedroom door is 0.08 m.

Elena's bed measures 4 cm by 3 cm.

Scale of drawing is 1 to 50.

To find:

The width of door on the scale drawing.

Actual measurements of her bed.

Step-by-step explanation:

Scale of drawing is 1 to 50.

It means, the length of sides in drawing is $\dfrac{1}{50}$ of actual.

Elena's bedroom door is 0.08 m.

1 m = 100 cm

0.08 m = 8 cm

Door on the scale drawing $=\dfrac{1}{50}\times 8$

                                             $=0.16$

Therefore, the Door on the scale drawing is 0.16 cm wide.

Elena's bed measures 4 cm by 3 cm on the scale drawing.

Elena's bed actual measurements are

$4\times 50=200cm=2m$

$3\times 50=150cm=1.5m$

Therefore, the actual measurements of her bed is 2 m by 1.5 m.