LENGTH OF DIAGONAL OF A PARALLELOGRAM WORKSHEET

Problem 1 :

For the parallelogram given below, solve for m and n.

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Problem 2 :

For the parallelogram given below, solve for j and k.

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Problem 3 :

In parallelogram PQRS, solve for x and y.

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Problem 4 :

Solve the n in the following parallelogram ABCD. Find length of the diagonal BD.

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Problem 5 :

Length of the longer diagonal in the parallelogram FAST.

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Problem 6 :

For what value of x is quadrilateral MNPQ a parallelogram? Explain your reasoning

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Problem 7 :

find the value of x that makes the quadrilateral a parallelogram.

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Problem 9 :

What value of x makes the quadrilateral a parallelogram? Explain how you found your answer.

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Problem 10 :

Find the value of each variable in the parallelogram.

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Problem 11 :

Find the coordinates of the intersection of the diagonals of ▱QRST with vertices Q(−8, 1), R(2, 1), S(4, −3), and T(−6, −3).

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Problem 12 :

As shown in the diagram below, the diagonals of parallelogram QRST intersect at E. If QE = x² + 6x, SE = x + 14, and TE = 6x − 1, determine TE algebraically

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Problem 12 :

ABCD is a parallelogram in which ∠DAB = 70^o and ∠CBD = 55^o. Find ∠CDB and ∠ADB.

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Problem 13 :

In a parallelogram ABCD, ∠A = (2x + 10)^o and ∠C = (3x – 20)^o. Find the value of x.

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Problem 14 :

The sum of the two opposite angles of a parallelogram is 150^o. Find all the angles of the parallelogram.

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Problem 15 :

If the angles of a quadrilateral are (x – 20)^o, (x + 20)^o, (x – 15)^o and (x + 15)^o, find x and the angles of the quadrilateral

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Problem 1 :

Side length = 2 yd

Diagonal = _______

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Problem 2 :

Side length = 53 ft

Diagonal = _______

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Problem 3 :

Side length = 17.3 in

Diagonal = _______

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Problem 4 :

Side length = 95 yd

Diagonal = _______

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Find the length of the diagonal of each square. Round your answer to the nearest tenth.

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Problem 9 :

The side length of a square is 22 yards. What is the length of the diagonal?

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Problem 10 :

The diagonals of two squares are in the ratio of 2 : 5. Find the ratio of their areas.

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Problem 11 :

If length of diagonal of a square is 20 cm, then its perimeter is ________

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Problem 12 :

 A rectangular carpet has area 120 square meters and perimeter 46 meters. The length of its diagonal is ___________ .

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Problem 13 :

If diagonal of a rectangle is thrice its smaller side, then find the ratio of its length and width.

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Problem 14 :

If diagonal of one square is double the diagonal of another square, then find the ratio of their areas.

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Problem 15 :

The length of the diagonal of a square is 50. Find the perimeter of a square. 

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