The two sides of the parallelogram abcd are 6 cm and 4 cm. the height corresponding to the base cd is 3 cm. what will be the area of the parallelogram?

Important Important You are here Important Important Important Important Important Important Important Deleted for CBSE Board 2024 Exams Deleted for CBSE Board 2024 Exams Important Deleted for CBSE Board 2024 Exams Important Deleted for CBSE Board 2024 Exams Deleted for CBSE Board 2024 Exams Deleted for CBSE Board 2024 Exams Important Deleted for CBSE Board 2024 Exams Important Deleted for CBSE Board 2024 Exams Transcript Example 3 The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm. Find the (i) area of the parallelogram. (ii) the height corresponding to the base AD Finding area of parallelogram Using BE as height and CD as base Here, Base = CD = 6 cm Height = BE = 3 cm Area of parallelogram = Base × Height = CD × BE = 6 × 3 = 18 cm2 Now, we need to find height corresponding to base AD Let that height be BF Our figure looks like Base = AD = 4 cm Height = BF = x Area of parallelogram = Base × Height 18 = AD × BF 18 = 4 × BF 4 × BF = 18 BF = 18/4 BF = 9/2 BF = 4.5 cm Area of parallelogram is 18 cm2 and height corresponding to base AD is 4.5 cm Show More

• Parallelogram 5662 One side of the parallelogram is 8 cm long, representing two-sevenths of its circumference. Calculate the length of the other side of the parallelogram. • Circumference 2598 Calculate the circumference and area of the parallelogram ABCD, if a = 72cm and v = 4.3cm b = 6cm • Parallelogram 4701 Calculate the area and perimeter of the ABCD parallelogram with side a = 2.7 m, va = 0.8 m, b = 1.9 m. • The parallelogram The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram? • Parallelogram Calculate the missing side of a parallelogram if you know the perimeter o and one side: a) o = 7.2 cm; b = 1.8 cm b) o = 5.4 cm; a = 1.9 cm • Parallelogram The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the lengths of the sides. • Parallelogram Calculate the area and perimeter of a parallelogram whose two sides are long a=24 cm b=22 cm and height h a = 6 cm long. • A perimeter A perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find lengths of the sides of the parallelogram. • Parallelogram 49281 The circumference of the parallelogram measures 2.8 m. The length of one of its sides is equal to one-seventh of the entire circumference. Calculate the sizes of the sides of this parallelogram. • Circumference 3088 In the parallelogram ABCD, the side AB is three time...

Three quadrilaterals, a rhombus, a square, and a rectangle are specific types of parallelograms. Suppose you built a crate to hold, say, oranges, but you forget to put a bottom on it. Two of the crate's sides are 12 inches and the other two are 18 inches. If you turn the crate so one of its 18-inch sides is flat on a table, the crate naturally leans (because it had no bottom to hold the four sides rigid). The leaning crate forms a parallelogram. If you push or pull the crate so it leans more or less, every shape it takes is a parallelogram. Its sides never change their length, but the crate's height (or width) changes. Area of a parallelogram If you noticed the three special parallelograms in the list above, you already have a sense of how to find area. Finding the area of a rectangle, for example, is easy: length x width, or base x height. The length of any linear geometric shape is the longer of its two measurements; the longer side is its base. For any parallelogram, we need to know the length of a longer side (base), and its width. This is where things get tricky, because the distance along either short side is not necessarily its width. Think of our wobbly orange crate; we could nearly collapse it flat, but its two short sides would always be 12 inches. How to find the area of a parallelogram We can name the various parts of our orange-crate parallelogram. The four vertices (corners) are A, B, C and D. The two long sides, at 18 inches, are AB and CD. Side CD forms the...

• Your answer should be • an integer, like 6 6 6 6 • a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5 • a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4 • a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4 • an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75 • a multiple of pi, like 12 pi 12\ \text 2 / 3 pi 2, slash, 3, space, start text, p, i, end text square units Check Explain Another way of thinking why it will work is that a Parallelogram has 2 pairs of sides that are of equal length (Opposite sides have equal length). Therefore, the parallelogram will always be able to fit into a rectangle when rearranged properly => Formula of finding the area of a rectangle will work as long as we are sure that the figure that we are handling is truly a parallelogram irregardless of whether it is drawn to scale or not.