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Jean wants to put furniture in her clubhouse. She drew a floor plan of the clubhouse, as shown. Each grid unit represents one foot.


AWhich polygon names the shape of the floor?

BHow many feet of baseboard are needed to go around the entire clubhouse?

CHow much carpet is needed for the clubhouse floor

Please help me the image that is in this, the top one is not suppsoed to be there but the bottom one counts :)

Verified Answer :

taskmasters

The polygon has 6 sides. It is called a HEXAGON.

We need to solve for the perimeter to know the length of the baseboard needed.
Side      Measure
1               9 ft
2               5
3               2
4               1
5               5
6               2    
                24 feet 

We need 24 feet of baseboard.

We need to divide the polygon into shapes that can easily compute its area.
There are 2 right triangle and 2 rectangles.

Area of a right triangle = ab/2
Δ 1 = (3ft  4ft)/2 = 12ft² /2 = 6 ft²
Δ 2 = (3ft  4ft )/2 = 12ft² /2 = 6 ft²

Area of a rectangle = length * width
rectangle 1 = 4ft x 2ft = 8 ft²
rectangle 2 = 5ft x 1ft = 5 ft²

Total area = 6 ft² + 6 ft² + 8 ft² + 5 ft² = 25ft²

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