FINDING MISSING DIAGONAL OF A RHOMBUS WORKSHEET

Find the length of the missing diagonal in each rhombus

Problem 1 :

If WY = 70 yd, find XZ.

Solution

Problem 2 :

If FH = 6 ft, find EG.

Solution

Problem 3 :

If KM = 35 in, find LN.

Solution

Problem 4 :

If VT = 7ft, find SU.

Solution

Problem 5 :

If BD = 16 in, find AC.

Solution

Problem 6 :

If VX = 49 yd, find UW.

Solution

Problem 7 :

The length of one of the diagonal of a rhombus is 38 inches. Find the length of the other diagonal, if the area is 646 square inches.

Solution

Problem 8 :

The area of a rhombus is 125 square yards. If one of the diagonals measures 10 yards, find the length of the other diagonal.

Solution

Problem 9 :

Find the area of the kite or rhombus

area-of-rhombuswpq1

Problem 10 :

Find the area of the kite or rhombus.

area-of-rhombuswpq2.png

Problem 11 :

Find the area of the kite or rhombus.

area-of-rhombuswpq3.png

Solution

Problem 12 :

Find the area of the kite or rhombus.

area-of-rhombuswpq4.png

Solution

Problem 13 :

area-of-rhombuswpq5.png

Solution

Problem 14 :

area-of-rhombuswpq6.png

Solution

Problem 15 :

area-of-rhombuswpq7.png

Solution

Answer key

1)  55 yd

2)  5 ft

3)  40 in

4)  23 ft

5)  24 in

6)  37 yd

7)  34 inches

8)  25 yd

9)  361 square units.

10) 140 square inches

11) 16 cm2

12)  285.25 square inches.

13) 110.36 square inches.

14)  110.36 square inches.

15)  384 square units.

Problem 1 :

Find the side length of the rhombus ABCD.

upsidelengthofrhombusq2

Problem 2 :

The area of a rhombus is 150 cm2. The length of one of its diagonal is 10 cm. The length of their other diagonal is .

(a)  25 cm   (b)  30 cm   (c) 35 cm    (d)  40 cm

Solution

Problem 3 :

One of the diagonals of a rhombus is double the other diagonal. Its area is 25 sq.cm. The sum of the diagonal is 

(a)  10 cm   (b)  12 cm   (c) 15 cm    (d)  16 cm

Solution

Problem 4 :

If the diagonals of a rhombus are 24 cm and 10 cm, find the area and perimeter of rhombus.

Solution

Problem 5 :

Each side of a rhombus is 26 cm and one of its diagonal is 48 cm long. The area of the rhombus is.

(a) 240 cm2       (b) 300 cm2  (c) 360 cm2    (d) 480 cm2

Solution

Problem 6 :

The length one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of length of the other diagonal ?

(a) 4/5   (b)  2/5   (c)  3/4     (d)  1/4

Solution

Problem 7 :

Use square FNRM or rhombus STPK to find each measure

a)  AR

b)  ∠FAN

c)  PB

d)  MA

e)  TP

f)  ∠KTP

diagonal-rhombus-q1

Solution

Problem 8 :

The diagonals of a square are (x + 8) feet and 3x feet. Find the measure of the digonals.

Solution

Problem 9 :

Refer to rhombus PLAN

a) Classify trangle PLA by its sides.

b)  Classify triangle PEN by its angles.

c) Is triangles PEN and triangle AEL congruent. Explain.

diagonal-rhombus-q2.png

Solution

Problem 10 :

The area of a kite is 324 square inches. One diagonal is twice as long as the other diagonal. Find the length of each diagonal.

Solution

Problem 11 :

One diagonal of a rhombus is four times the length of the other diagonal. The area of the rhombus is 98 square feet. Find the length of each diagonal.

Solution

Answer Key

1)  DC = 10√13

2)  d2 = 30 cm

3)  Sum of the diagonals = 15 cm

4)  Perimeter of rhombus = 52 cm

5) 480 square cm

6)   2/5

7)  a) AR = 12 mm

b)  ∠FAN = 90 degree.

c)  BS = BP = 6 cm

d)  MA = 12 mm

e)  TP = 10 cm

f)  ∠KTP = 37 

8)  the length of the diagonals is 12 feet.

9)  a)  In general, in rhombus all four sides will be equal. Then, in triangle PLA, PL and LA will be equal.

b)  Diagonals will be equal, they bisect each other and perpendicular.

∠EPN = ∠ENP and ∠PEN = 90 degree.

c)  In triangle PEN and AEL,

  • ∠EPN = ∠EAL
  • ∠ENP = ∠ELA
  • ∠PEN = ∠LEA (90 degree)

10)   the lengths of diagonal are 18 inches and 36 inches.

11)  the lengths of diagonal are 7 inches and 28 inches.

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