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Interior Design with Rosie

Rosie is decorating a living room for her clients. Use her floor plan to solve the design puzzles!

Rosie's floor plan of the living room

N ↑S ↓W ←→ E
Sofa (90cm Γ— 210cm) South-wall furniture Window β–¦ 1 square on the grid
1

What's the scale?

The sofa is marked in red β€” it's 90cm Γ— 210cm and covers 3 squares by 7 squares. What distance does the side of one square represent?

2

Bookcases on the south wall

On the south wall the clients want a plant (30cm), a TV stand (150cm), and as many bookcases (90cm each) as will fit. The south wall is 15 squares long. How many bookcases can Rosie fit?

3

Choosing the rug

90cm from the south wall the clients want a rug (see the dashed line). It must go under the sofa, but not all the way to the back of it. Which rug should Rosie choose?

4

Choosing the table

A table goes along the east wall under the window. There is 210cm of clear floor between the east wall and the sofa, and Rosie wants at least 90cm left between the table and the sofa opposite. Each table is written as (width along the wall) Γ— (how far it sticks out). Which table is NOT suitable?