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 s

Question

2 months ago

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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 s

cale 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

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-04-03T21:31:19+03:00

Provided:

Elena's bedroom is rectangular, measuring 5 m in length and 3 m in width.

The width of Elena's bedroom door is 0.08 m.

The dimensions of Elena's bed are 4 cm and 3 cm.

The drawing uses a scale of 1 to 50.

What needs to be calculated:

The width of the door represented in the scaled drawing.

The real dimensions of her bed.

Detailed explanation:

With a scale of 1 to 50,[ [TAG_26]]

this indicates that each side's length on the drawing is $\dfrac{1}{50}$ of the actual size.

Elena's bedroom door has a width of 0.08 m.

1 m equals 100 cm

thus, 0.08 m converts to 8 cm

The width of the door in the scaled drawing is $=\dfrac{1}{50}\times 8$

$=0.16$

Consequently, the width of the door in the scaled drawing is 0.16 cm.

On the scale drawing, Elena's bed dimensions are represented as 4 cm by 3 cm.

The actual dimensions of her bed are

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

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

Thus, the actual size of her bed is 2 m by 1.5 m.