Calculate Areas: Parallelograms with DC=10 and Height Constraint

ABCD and DCFE are forllel

It is known that:

DC=10 AE=8

Angle BAE equals 90 degrees

The height of the forllelogram ABCD for DC is less band 80% of the size of the side DC

Calculates the sum of the areas of the forllelograms.

101010888DDDAAABBBCCCEEEFFF

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:19 Let's calculate the total area of the parallelogram!
00:23 Remember, in a parallelogram, opposite sides are parallel.
00:28 Using the transitive property, we can connect these sides.
00:37 And, alternate angles add up to 180 degrees.
00:44 So, this angle here must also be a right angle.
00:52 We know opposite sides in a parallelogram are equal.
01:08 To find the area, multiply the height, H, by side, DC.
01:13 Do this multiplication for each height, one and two.
01:19 Let's factor out the common parts from the calculations.
01:25 The sum of the heights is just the height, AE.
01:29 We'll substitute the AE value and solve for the areas.
01:34 And that's how we solve the problem.

Step-by-step written solution

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1

Understand the problem

ABCD and DCFE are forllel

It is known that:

DC=10 AE=8

Angle BAE equals 90 degrees

The height of the forllelogram ABCD for DC is less band 80% of the size of the side DC

Calculates the sum of the areas of the forllelograms.

101010888DDDAAABBBCCCEEEFFF

3

Final Answer

80 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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