FIND MISSING MEASURES OF PARALLELOGRAM WORKSHEET

Problem 1 :

For the parallelogram ABCD, what is DE to the nearest tenth?

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

The area of a parallelogram is 24 in², and the height is 6 in. Find the length of the corresponding base.

Solution

Problem 6 :

Find the area of the composite figure. Then find the area.

Solution

Problem 7 :

The height of a parallelogram is 12 cm. If the area is 432 sq.cm. The base of the parallelogram is

a)  25   cm     b)  26 cm     c)  28 cm      d) 36 cm

Solution

Problem 8 :

Find the height of the parallelogram whose area is 210 cm² and base is 30 cm.

Solution

Problem 9 :

The area of a parallelogram is equal to the area of a square whose perimeter is 120 m. If the height of the parallelogram is 20 m, find its corresponding base.

Solution

Problem 10 :

Find the area of parallelogram with base 12 cm and altitude 11 cm.

Solution

Problem 11 :

Suresh won a parallelogram-shaped  trophy in a state level Chess tournament. He knows that the area of the trophy is 735 sq. cm and its base is 21 cm. What is the height of that trophy?

Solution

Problem 12 :

Janaki has a piece of fabric in the shape of a parallelogram. Its height is 12 m and its base is 18 m. She cuts the fabric into four equal parallelograms by cutting the parallel sides through its mid-points. Find the area of each new parallelogram.

Solution

Problem 13 :

A ground is in the shape of parallelogram. The height of the parallelogram is 14 meters and the corresponding base is 8 meters longer than its height. Find the cost of leveling the ground at the rate of ₹ 15 per sq. m.

Solution

Problem 1 :

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

Solution

Problem 2 :

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

Solution

Problem 3 :

In parallelogram PQRS, solve for x and y.

Solution

Problem 4 :

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

Solution

Problem 5 :

Length of the longer diagonal in the parallelogram FAST.

Solution

Problem 6 :

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

Solution

Problem 7 :

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

Solution

Problem 8 :

Solution

Problem 9 :

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

Problem 10 :

Find the value of each variable in the parallelogram.

Solution

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).

Solution

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

Solution

Find the perimeter of each parallelogram.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

The adjacent sides of a parallelogram measure 13 feet and 1 foot. Determine the perimeter of the parallelogram.

Solution

Problem 8 :

What is the perimeter of the parallelogram whose adjacent sides measure 15 yards and 17 yards?

Solution

Problem 9 :

The base of the parallelogram is x + 3 cm and height is 4 cm. If the area of the parallelogram is 30 cm². Find the value of x.

Solution

Problem 10 :

The perimeter of the parallelogram is 30 cm. If the height of the parallelogram is 5 cm and the length of adjacent side is 6 cm, find its base.

Solution

Problem 11 :

If the base and height of the parallelogram are 360 inches and 8 yards respectively. Find the area of the parallelogram.

Solution

Problem 12 :

What is the area of parallelogram with base 2.85 mm, height 12.87 mm ?

Solution

Problem 13 :

The area of parallelogram is 62 cm² and its height is 7 cm, what is its base?

Solution

Problem 14 :

The area of rectangle is 87 cm² and its height is 9.2 cm, what is its base?

Solution