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Chelsea wants to rearrange her room. She makes a scale drawing of the room and cuts out pieces of paper to represent her furniture. The paper representing her desk is 1 1/4 inches by 2 1/4 inches. What are the actual dimensions of her desk?

A: 1 3/4 feet by 3 feet
B: 2 1/2 feet by 5 feet
C: 2 1/4 feet by 4 1/4 feet
D: 2 1/2 feet by 4 1/2 feet

Chelsea Wants To Rearrange Her Room She Makes A Scale Drawing Of The Room And Cuts Out Pieces Of Paper To Represent Her Furniture The Paper Representing Her Des class=

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Since the paper representing her desk is 1 1/4 inches by 2 1/4 inches, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

To answer the question, we need to know what scale is

What is a scale?

A scale is the ratio of two dimension and it is given on a scale drawing.

Given that Chelsea makes a scale drawing of the room and cuts out pieces of paper to represent her furniture, and the paper representing her desk is 1 1/4 inches by 2 1/4 inches.

Since on the scale, we have 1/2 in = 1 foot ⇒ 1 in = 2 ft

Actual dimensions of desk

So, the actual dimensions of her desk are

1 ¹/₄ in by 2 ¹/₄ in = 5/4 in by 9/4 in

= 5/4 × 1 in by 9/4 × 1 in

= 5/4 × 2 ft by 9/4 × 2 ft

= 5/2 ft by 9/2 ft

= 2 ¹/₂ ft by 4 ¹/₂ ft

So, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft

Learn more about scale here:

https://brainly.com/question/26467371

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