a) A fence is to have seven boards between two posts so that the space between each board is the same. Calculate the distance between each board Answer as a fraction 6. 21-7/8" . IIIIIIII İERIhhiH b) if the carpenter decided the distance between boards was too large, would it be possible to addidioHa an extra board by decreasing the space between each board? Explain. Note: dashes are commonlyL placed between whole numbers and fractions so 217" 21 is not mistaken for 2-5/8" 8

If the area of the 1200 sector is 40 cm2 and the area of MON is 16 cm2, what is the area of the segment bounded by MN- and MN?

A carpenter lays out boards of lengths 8 ft, 8 ft, 4 ft, and 4 ft by placing them end to end. a If these are joined at the ends to form a quadrilateral that has the 8-ft pieces connected in over, what type of quadrilateral is formed? b If these are joined at the ends to form a quadrilateral that has the 4-ft and 8-ft pieces alternating, what type of quadrilateral is formed?

In trapezoid ABCD, MN is the median. Without writing a formal proof explain why MN=12(AB+DC).

When the rectangle in the accompanying drawing whose dimensions are 16 by 9 is cut into pieces and rearranged, a square can be formed. What is the perimeter of this square?

Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle that has the smallest perimeter. What type of figure has the smallest perimeter?

After the five pieces have been cut from the round stock in Figure 113, what is the length that is thrown away?