Question
The parallel sides of a trapezium are 30 cm and 10 cm and the other two sides are 13 cm and 21 cm. Find its 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: 252 cm2
Ans :- 252 cm2.
Explanation :-
Step 1:- Given lengths of parallel sides is 10 and 30 cm .
Length of non parallel sides is 21 and 13 cm
We get a triangle and parallelogram ABED
we get BE = 21 cm ; DE = 10 cm (opposites sides of parallelogram )
CE = CD-DE = 30 - 10 = 20 cm .
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)
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)
Step 2:- Equate the areas and find value of height h
![10 h equals 126 not stretchy rightwards double arrow h equals 126 over 10 equals 12.6 cm](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAO0AAAAjCAYAAAB4r41LAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAABBlJREFUeNrtmkFIFVEUhi8iIiKBSES4CEQkWrmJCIkIQuIREkJEhEQILlpEC6FFRKugVUSL4CHiQiQQkQhpJyLiQpCIVtGuRQsRXIjIQ4TpXN6Bpuu9M3fGmblH3//Bv/DOvOfMeeefe+6doxQAxxkkvSJ9dxwfJi2S9kiHfN6jhO+7Slrg8xukL6SbCDMAxTFHmiRFjuNrpIekbv77CmmDx0wm2aSD/Pc5Nvg6wgxA8UQZzr1E+mGMaTNvIYwAyDSt4tI3Tt0x+wIABJj2OpfIcX6SLiKMAMgzbSdpUzU3qMyZV69ll0gHqrlptaWSN60AACWbtof0mTTi+Pw3Uo3UTmpjY/8iPUV4AajetP1s2AHHcf2Kp88yPkT6g/ACUK1pL5OmSV0J53zl2dXGIcILQHWmvaCazRLtKZ/XJfADh+E3EV4AqjPtMhsvjQ7VbMSYiBn8mmq+z72N8BZDWvuaRne0fOQnpVadx2wcJJRHIa7/tLTfVR03m1lNpR2PHCY/z2X0PumITXzjFOeEhPz4j7T2Nc0KaTT2910eMxlQxztkQl//aWi/CxG3s0yROSEhPzKXRfdJHyzj7y03eY/0SeAGiom09ruQcWvFUt83J6TkR+Yb1GWE7X3cLT4W5zXpBamX9I60TdolPRP2AylVfvvdVMISQgmKG0zrzom8+THMs7n+vt+kccs11fgh0GAfdcd8tcnjG7FZPdMN7vLmgm3DYdsYW+AEXOdyWq/R+vgCujKspdLWTCf9gapov3vJP9iwx7kh4ybVbBJyIk9+6PfRO1w9tbHp5o1r0mX2Ks/emsdczdaM8fG02d11g0cJnzHfu+mul+XYUyNu/F4hT9Ui2+8iT71J2WQKGTfMtO6cyJMfiykVUsTntFm+v24ZPyratPFyQv+zfcvM0M43KeEHCtF+N8PfPe84HiJukRBJz4k8+bGXsiyK+CGRZTzzDW47yuNOozzW7+JWHGXHqoBSqIz2O9/kfJsw04aOWyuXx2k5kSc/opzXFOW5h6SNqDuW8RFjI0ov0mct57nGq3yqhmi/813Tho5bq5bHPjmRJz92PGba0k07xjdnMmvspumF9BPLeXp8IuAPFKr9bsqyRlWO+ISMWyua1jcn8uTHtMeatnTTKi7TnvNNdvAssmacs8T1vvIcr+oHkt5+FzpurWha35yIl+K++dHPFdaY+vcWYKZo0/qsF3r4Hzd4c6Su7DudtoW0a7zM9Y/v+sgkRPtdqLiddbMWkRPmmG9+DPHsq8/RLZKjZc20AJgU3ZcOACiZIvvSAQAC1oZZ+tIBAAJMm6UvHQAgwLRZ+tIBAAJMm6UvHQAg3LQNhA0Aeab17UsHAAgxrW9fOgBAiGl9+9IBAEJMq/HpSwcAVGjWIvrSwQn5C3uE/UUAC737AAAA6HRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbj4xMDwvbW4+PG1pPmg8L21pPjxtbz49PC9tbz48bW4+MTI2PC9tbj48bW8gc3RyZXRjaHk9ImZhbHNlIj4mI3gyMUQyOzwvbW8+PG1pPmg8L21pPjxtbz49PC9tbz48bWZyYWM+PG1uPjEyNjwvbW4+PG1uPjEwPC9tbj48L21mcmFjPjxtbz49PC9tbz48bW4+MTIuNjwvbW4+PG1pPmNtPC9taT48L21hdGg+Mm+2IAAAAABJRU5ErkJggg==)
Step 3:-Find the area of trapezium
![text Area of trapezium end text equals 1 half cross times left parenthesis text height end text right parenthesis cross times left parenthesis text sum of lengths of parallelsides) end text](data:image/png;base64,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)
![text Area of trapezium end text equals 1 half open parentheses bold 126 over bold 10 close parentheses left parenthesis 10 plus 30 right parenthesis equals 126 cross times 2 equals 252 cm squared](data:image/png;base64,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)
Therefore, Area of trapezium ABCD = 252 cm2.
Related Questions to study
A Hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively, then find the volume of the metal used in making the pipe?
A Hollow cylindrical pipe is 21 cm long. If its outer and inner diameters are 10 cm and 6 cm respectively, then find the volume of the metal used in making the pipe?
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If the radius and height of a cylinder are in ratio 5 :7 and its volume is 550 cubic.cm, then find the radius?
If the radius and height of a cylinder are in ratio 5 :7 and its volume is 550 cubic.cm, then find the radius?
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)
Which of the following is true about the standard deviations of the two data sets in the table above?
Note:
We could also calculate the standard deviation for both the data sets
The formula for standard deviation is
Where, = standard deviation
= total number of terms
= terms given in the data
= mean
After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.
![](data:image/png;base64,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)
Which of the following is true about the standard deviations of the two data sets in the table above?
Note:
We could also calculate the standard deviation for both the data sets
The formula for standard deviation is
Where, = standard deviation
= total number of terms
= terms given in the data
= mean
After finding both the standard deviations, we can compare them. This is a tedious task and needs precision.
50 animals are there in a shed. Some of the animals have 2 legs and the rest of them have 4 legs. In total there are 172 legs. Frame the system of linear equations and use elimination method to solve .
50 animals are there in a shed. Some of the animals have 2 legs and the rest of them have 4 legs. In total there are 172 legs. Frame the system of linear equations and use elimination method to solve .
The area of trapezium is 384 sq.cm. If its parallel sides are in the ratio 3:5 and the perpendicular distance between them 12cm. The smaller of the parallel side is
The area of trapezium is 384 sq.cm. If its parallel sides are in the ratio 3:5 and the perpendicular distance between them 12cm. The smaller of the parallel side is
A Rectangular sheet of paper 44 cm x 18 cm is rolled along its length and a cylinder is formed. What is the volume of the cylinder so formed?
A Rectangular sheet of paper 44 cm x 18 cm is rolled along its length and a cylinder is formed. What is the volume of the cylinder so formed?
The difference between two parallel sides of a trapezium is 8cm. The perpendicular distance between them is 19cm while the area of trapezium is 760 sq.cm. What will be the lengths of the parallel sides.
The difference between two parallel sides of a trapezium is 8cm. The perpendicular distance between them is 19cm while the area of trapezium is 760 sq.cm. What will be the lengths of the parallel sides.
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?
A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?
The sum of 3 consecutive natural numbers is 75. Find the numbers.
The sum of 3 consecutive natural numbers is 75. Find the numbers.
Find three consecutive even numbers whose sum is 312.
Find three consecutive even numbers whose sum is 312.
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)
Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?
Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio
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)
Triangles ABC and DEF above are similar. How much longer than segment EF is segment DE ?
Note:
There are three ways to prove that two triangles are similar- AAA,
SAS, SSS.
AAA means that the corresponding angles are equal,
SAS means two sides of the triangles are in equal ratio and the angles between these two sides are equal,
SSS means that all three corresponding sides have equal ratio