Question
The parallel sides of an isosceles trapezium are 16cm and 28cm and equal sides are 24cm each. Find the area ?
Hint:
Draw the parallel line from B parallel to AD which cuts the CD 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: 132√15 (or) 511.2338 cm2.
Ans :-
.
Explanation :-
Step 1:- Given lengths of parallel sides is 16 and 28 cm .
Length of non parallel sides is 24 and 24 cm
We get a triangle and parallelogram ABED
we get BE = 24 cm ; DE = 16 cm (opposites sides of parallelogram )
CE = CD-DE = 28 - 16 = 12 cm .
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)
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)
Step 2:- Equate the areas and find value of height h
![bold 6 bold h equals 36 square root of 15 not stretchy rightwards double arrow bold italic h equals 6 square root of 15 cm](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANUAAAATCAYAAAAH8UgqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAABCFJREFUeNrtWl1IFUEUXkQkRCKxiDApJC4SIUJJxU1EkAgJETFMRCSKiB5CRCiwKIioh6CwJzGRiArELCKst4uIhBEWPYkR0UNECLe4RF3E2s7UtzVMM3v3Z1zv4nzwoXfm3J3Z7+zMOWf2WpaBDCVEOwIaGO1XDQ4TU0YGo72BPjwhHjMyGO0N9GA98TP+GhjtQ6MZofcbMUt8RKwTbKLOSRuIE9yc5onXiWUK+1riKDHD3UO9j/FOEB+49CeI54ivFP35kseze18iFkQ4ptFeQJ/HCUU9SbbIW4lFXFsN8anE9jgcmcDntcRO4pTP8dpc+m9jHNvFsSuNbZjH6wjHNNoLqMaEFjHpQuxwjcTHK7yoVMgIn7cTX4S85lbiAnGNB9t8dmwL5nEnovGM9hIMYkL9Hm/ImXw9dqIsHvJhYmkE860kzknuoSPkdc8QhzzaRu3YPuz+XnAe8ziNNPkq8SM2TabbwWV4fuKqfZI4iWf4PbFLcr0mbBrMZsz6c+zvlCYzaJ/movRvzOECCTjgCwxTGFS2qNoVqeLDAPmu1+i3kXgEdVWT0MfuYVNIx74kHsjTRdUPpyc92I5iHj34jqhzFtmILh/FVfsaRMcWZGYJIbrbyNxSiMYM3cQBPH98e5cYrbPcgpAJ2SARPgP7KrS3cymkbojz6VEU5kyUcRxqLOImOyW2JZK2HdjNCzU4dhH6sAOWXsV4QTcexks5DiDmOR+xTGIv7Gu5axRrPhSJo/Ys6pzKMc6YROssorPYviR+sFE/OSFsCz7bwgp0nHIrR2q4HCjFrjIjOVVi485iB3FqwiQesJNcAT8C233C9y8Tr/lc6G5gc9iJ06o5bvMJi+Ec9VIB589BSZ8TqXRvenHUPpMjpbYVNZ5b+1+kFYZlEic4C6fQ56LS+dOREiwsUaByRYj/gP/PwrHsXchzwe4dcZdGx/LYj7xdV6S64hKpdsNmyqUvpdlHcdXeDjiOp3YnB68QjIq5NMLPwokC4m474fKgiSkp2z1/okZj2EN84yP9CJK/h40OXmuqDsxtxGdfGMRV+wUPkSpwexIN01zhxQrPexIn5MOiqkZqITqrXWJbJYlqFnL/u/j/BvFCgJTHK1jN8FbD6Z+X2myAK7D99IVBXLUf8lBThWq/qAj3n4QIFvWiYqH7EJerNyBd6BbsimB7lNv1WLrDXoA2Sq57k/gdtgsBah7VfY5zBwMFONFiTm2NKIKPY25NPvvCIK7aVyL6t8K+HDWrtkVl4eGdRaHrvHeqCFA36UQdDkyy1r9jftV7lg3Yfb7iHiat/39m5WAd8QfxPvFZiJNIW6LhPMZPI7WutaJD2qWQdusLi7hqX4Noyr7Dfv7UrHtRrTZMWeojegOjvUEAOO9tNhspjPYG+tBmJDDa68QvQpMpSHTD4csAAAEndEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1uIG1hdGh2YXJpYW50PSJib2xkIj42PC9tbj48bWkgbWF0aHZhcmlhbnQ9ImJvbGQiPmg8L21pPjxtbz49PC9tbz48bW4+MzY8L21uPjxtc3FydD48bW4+MTU8L21uPjwvbXNxcnQ+PG1vIHN0cmV0Y2h5PSJmYWxzZSI+JiN4MjFEMjs8L21vPjxtaSBtYXRodmFyaWFudD0iYm9sZC1pdGFsaWMiPmg8L21pPjxtbz49PC9tbz48bW4+NjwvbW4+PG1zcXJ0Pjxtbj4xNTwvbW4+PC9tc3FydD48bWk+Y208L21pPjwvbWF0aD5QECeZAAAAAElFTkSuQmCC)
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 6 square root of 15 right parenthesis left parenthesis 16 plus 28 right parenthesis equals 3 square root of 15 cross times 44 equals 132 square root of 15 cm squared](data:image/png;base64,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)
Therefore, Area of trapezium ABCD = ![132 square root of 15 open parentheses or squared close parentheses 511.2338 cm squared text . end text](data:image/png;base64,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)
Related Questions to study
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Note:
There are many other units of length which are often used. For example: inch, foot, yard, centimetre, parsec, lightyear, nanometre, etc. They measure anything between atoms to a galaxy.
Some relations between them are given by
1 kilometer = 39370.0787 inches = 3280.84 feet = 100000 centimetre
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The circumference of Earth is estimated to be 40,030 kilometers at the equator. Which of the following best approximates the diameter, in miles, of Earth's equator? (1 kilometer
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Note:
There are many other units of length which are often used. For example: inch, foot, yard, centimetre, parsec, lightyear, nanometre, etc. They measure anything between atoms to a galaxy.
Some relations between them are given by
1 kilometer = 39370.0787 inches = 3280.84 feet = 100000 centimetre
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A certain colony of bacteria began with one cell, and the population doubled every 20 minutes. What was the population of the colony after 2 hours?
Note:
This is a logical question and doesn’t require any prior knowledge except the idea of multiplication. This could also be solved by simply making a table with an interval of 20 min and population which is multiplies by 2 in consecutive cells till we get 2 hours.
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Note:
This is a logical question and doesn’t require any prior knowledge except the idea of multiplication. This could also be solved by simply making a table with an interval of 20 min and population which is multiplies by 2 in consecutive cells till we get 2 hours.
A Rectangular sheet of paper, 36 cm x 22 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed?
A Rectangular sheet of paper, 36 cm x 22 cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed?
The parallel sides of a trapezium are 20cm and 10cm. Its non parallel sides are both equal. Each being 13cm. Find the area of the trapezium ?
The parallel sides of a trapezium are 20cm and 10cm. Its non parallel sides are both equal. Each being 13cm. Find the area of the trapezium ?
In a fraction, if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1. Instead, if the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8. Find the fraction.
In a fraction, if the numerator is increased by 2 and the denominator is decreased by 3, then the fraction becomes 1. Instead, if the numerator is decreased by 2 and denominator is increased by 3, then the fraction becomes 3/ 8. Find the fraction.
What is the volume of a cylindrical container with base radius 5 cm and height 20 cm?
What is the volume of a cylindrical container with base radius 5 cm and height 20 cm?
In the x - y plane, the graph of line
has slope 3 . Line k is parallel to line
and contains the point ( 3, 10 ). Which of the following is an equation of line k ?
Note:
The general equation of a line is Ax + By = c. This form is modified to give us many other forms of equation of a line which involve the use of slope, x intercept, y intercept, etc. The student needs to be familiar with all these forms of equation of a line.
In the x - y plane, the graph of line
has slope 3 . Line k is parallel to line
and contains the point ( 3, 10 ). Which of the following is an equation of line k ?
Note:
The general equation of a line is Ax + By = c. This form is modified to give us many other forms of equation of a line which involve the use of slope, x intercept, y intercept, etc. The student needs to be familiar with all these forms of equation of a line.