Question

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

a. Which polygon names the shape of the floor?

b. How many feet of baseboard are needed to go around the entire clubhouse?

c. How 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 :)

Answer 1

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