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1 by 15 2 by 8 4 by 4 rectangle square rectangle 5 by 5 3 by 8 2 by 7 square rectangle rectangle 1 by 16 3 by 6 1 by 9 rectangle rectangle rectangle Can you arrange them in the grid in the same way? Once you've placed the nine cards, take a look at the extended grid below: ✓ ✓ ✓ ✓ ✓ ✓ The ticks represent the nine cards you've already placed. Can you create cards with dimensions for rectangles that could go in the four blank spaces that satisfy the same criteria? Not all the spaces are possible to fill. Can you explain why? Can you produce a set of cards that could be arranged in the same way, if the card in the centre is a 1 by 5 rectangle?

1 by 15 2 by 8 4 by 4 rectangle square rectangle 5 by 5 3 by 8 2 by 7 square rectangle rectangle 1 by 16 3 by 6 1 by 9 rectangle rectangle rectangle Can you arrange them in the grid in the same way? Once you've placed the nine cards, take a look at the extended grid below: ✓ ✓ ✓ ✓ ✓ ✓ The ticks represent the nine cards you've already placed. Can you create cards with dimensions for rectangles that could go in the four blank spaces that satisfy the same criteria? Not all the spaces are possible to fill. Can you explain why? Can you produce a set of cards that could be arranged in the same way, if the card in the centre is a 1 by 5 rectangle?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1 by 15 2 by 8 4 by 4 rectangle square rectangle 5 by 5 3 by 8 2 by 7 square rectangle rectangle 1 by 16 3 by 6 1 by 9 rectangle rectangle rectangle Can you arrange them in the grid in the same way? Once you've placed the nine cards, take a look at the extended grid below: ✓ ✓ ✓ ✓ ✓ ✓ The ticks represent the nine cards you've already placed. Can you create cards with dimensions for rectangles that could go in the four blank spaces that satisfy the same criteria? Not all the spaces are possible to fill. Can you explain why? Can you produce a set of cards that could be arranged in the same way, if the card in the centre is a 1 by 5 rectangle?
Transcribed Image Text:1 by 15 2 by 8 4 by 4 rectangle square rectangle 5 by 5 3 by 8 2 by 7 square rectangle rectangle 1 by 16 3 by 6 1 by 9 rectangle rectangle rectangle Can you arrange them in the grid in the same way? Once you've placed the nine cards, take a look at the extended grid below: ✓ ✓ ✓ ✓ ✓ ✓ The ticks represent the nine cards you've already placed. Can you create cards with dimensions for rectangles that could go in the four blank spaces that satisfy the same criteria? Not all the spaces are possible to fill. Can you explain why? Can you produce a set of cards that could be arranged in the same way, if the card in the centre is a 1 by 5 rectangle?
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