Parallelograms

The parallelogram shown represents a map of the boundaries of a natural preserve. Walking trails run from points A to C and from points B to D. The measurements shown represent miles. What is the sum of the lengths of the two trails?

16 miles

Figure ABCD is a parallelogram. What is the value of n?

17

Figure LMNO is a parallelogram. What is the value of x?

20

Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. What is the value of x?

20

Figure ABCD is a parallelogram. What is the value of p?

6

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D?

60 cm

A vegetable garden is in the shape of a parallelogram with the dimensions shown. How many feet of fencing are needed to enclose the garden?

68 feet

Figure JKLM is a parallelogram. The measures of line segments MT and TK are shown. What is the value of y?

7

Figure CDEF is a parallelogram. Which measures are correct? Check all that apply.

CF = 59 FE = 42 CD = 30

Figure TUVS is a parallelogram. Which angles equal 91°?

angles T and V