Calculate Parallelogram Area: Given Perimeter 47cm and Height 6

ABCD is a parallelogram.

Its perimeter is 47 cm.

What is its area?

666888AAABBBCCCDDDEEE

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the area of the parallelogram
00:03 Opposite sides are equal in a parallelogram
00:14 The perimeter of the parallelogram equals the sum of its sides
00:25 Substitute appropriate values and solve for AB
00:45 Isolate AB
00:59 This is the length of AB
01:06 Opposite sides are equal in a parallelogram
01:13 Calculate the parallelogram's area using height(H) multiplied by side(DC)
01:24 Substitute appropriate values and solve for the area
01:30 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

ABCD is a parallelogram.

Its perimeter is 47 cm.

What is its area?

666888AAABBBCCCDDDEEE

2

Step-by-step solution

First, let's remember that the perimeter of a parallelogram is the sum of its sides,

which is

AB+BC+CD+DA

We recall that in a parallelogram, opposite sides are equal, so
BC=AD=6

Let's substitute in the formula:

2AB+12=47

2AB=35

AB=17.5

Now, after finding the missing sides, we can continue to calculate the area.

Remember, the area of a parallelogram is side*height to the side.

17.5*8= 140

3

Final Answer

140 140 cm²

Practice Quiz

Test your knowledge with interactive questions

A parallelogram has a length equal to 6 cm and a height equal to 4.5 cm.

Calculate the area of the parallelogram.

6664.54.54.5

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