Question

Please help me!!! Will give 100 points. Will give BRAINILEST

Answer 1

Answer:

our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

The shape of the new pizza must meet the conditions:

• Be an irregular polygon (different sides and/or angles).
• Have at least five sides.
• Have the approximately the same area as a 14" diameter circle.
• Fit in a 14⅛" × 14⅛" square.
• Be divisible into 8-12 equal pieces.

For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).

Split the pentagon into a rectangle on bottom and triangle on top.  If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.

Now we just need to figure out the dimensions.  The area of a 14" circular pizza is:

A = πr²

A = π (7 in)²

A ≈ 154 in²

That means the area of each triangle slice needs to be 15.4 in².  If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:

A = ½ bh

15.4 in² = ½ (7 in) h

h = 4.4 in

Which makes the total height of the pentagon 3h = 13.2 in.

So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.

Of course, there are many possible solutions.  This is just one way.