Question
Find the area of an isosceles trapezium ABCD, if the parallel sides are 6cm and 14 cm, its non parallel sides is 5cm each.
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)
Hint:
Draw the parallel line from C parallel to AD which cuts the AB at E .
We get a triangle and parallelogram. we find the area of triangle in both heron's
method and using formula area = ½ b × h and equating we get height h
Now , find the area of Trapezium = ½ height × (sum of lengths of parallel sides).
The correct answer is: 30 cm2
Ans :- 30 cm2.
Explanation :-
Step 1:- Given lengths of parallel sides is 6 and 14 cm .
Length of non parallel sides is 5 and 5 cm
We get a triangle and parallelogram ABED
we get CE = 5 cm ; AE = 6 cm (opposites sides of parallelogram )
BE = BA-AE = 14- 6 = 8 cm .
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)
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)
Step 2:- Equate the areas and find value of height h
![bold 4 bold italic h equals 12 not stretchy rightwards double arrow bold italic h equals 3 bold italic c bold italic m](data:image/png;base64,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)
Step 3:-Find the area of trapezium
![text Areaoftrapezium end text equals 1 half cross times left parenthesis text height end text right parenthesis cross times left parenthesis text sumoflengthsofparallelsides end text right parenthesis](data:image/png;base64,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)
![text Area of trapezium end text equals 1 half left parenthesis 3 right parenthesis left parenthesis 6 plus 14 right parenthesis equals 3 cross times 10 equals 30 cm squared](data:image/png;base64,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)
Therefore, Area of trapezium ABCD = 30 cm2.
Related Questions to study
and
Solve by using the elimination method.
and
Solve by using the elimination method.
The sides of a parallelogram are 12cm and 8cm. one of the diagonal is 10cm long. If d is the length of the other diagonal, then which of the following is correct?
The sides of a parallelogram are 12cm and 8cm. one of the diagonal is 10cm long. If d is the length of the other diagonal, then which of the following is correct?
Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.
Cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 4.5 cm is dropped in it. After it was completely immersed, find the rise in the level of water.
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)
During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees
Celsius
, on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the
Which of the following systems of inequalities best describes the region where sillimanite can form?
Note:
We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.
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)
During mineral formation, the same chemical compound can be come different minerals depending on the temperature and pressure at the time of formation. A phase diagram is a graph that shows the conditions that are needed to form each mineral. The graph above is a portion of the phase diagram for aluminosilicates, with the temperature t , in degrees
Celsius
, on the horizontal axis, and the pressure p , in gigapascals (G Pa), on the
Which of the following systems of inequalities best describes the region where sillimanite can form?
Note:
We do not have the exact inequalities in the option, so we choose the one from the options which is the closest approximation of the inequalities that we have calculated. There are a couple of formulas and concepts used here, such as the equation of a line passing through two points and the concept that the region below a line is given by replacing the equality sign with less than or equal to in the standard form of the equation and vice versa.