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Seven Answers to Mathematics and Evaluation
(1) Can the floor be paved with regular pentagonal tiles as above? Why?

(5-2)× 180÷5= 108 ? (Every corner of a regular Pentagon is 180)

A: No, because it can't be divisible by 360, you can't use regular pentagons to pave the ground.

(2) Can you come up with another plan to use all the materials in the shape of a polygon (not a regular polygon)? And sketch out your plan.

(Hexagons can be used, as long as the sides are equal, a vertex and six angles of the circumference are all 360. )

Example:

If a hexagon is used:

Provide a hexagonal ABCDEF, where ∠A, ∠C, ∠D and ∠F are 150 degrees, ∠B and ∠E are 60 degrees, which can be assembled.

As shown in the figure: