What is trapezium ?
A trapezium is a quadrilateral which has a pair of parallel opposite sides.
Properties :
Find the values of the variables. Then find the lengths of the sides.
Problem 1 :
Solution :
By observing the figure,
4y + 6 = 7y – 3
Comparing like terms.
4y – 7y = -3 – 6
-3y = -9
y = 3
To find the lengths of the sides :
Substitute y = 3 in 4y + 6
= 4(3) + 6
= 12 + 6
= 18
Base of the trapezium = 5y + 1.4
5(3) + 1.4
15 + 1.4
16.4
So, the lengths of the sides are 18, 18, 16.4, 4.8.
Problem 2 :
The figure is an
isosceles trapezoid. Determine the value of the variable
a) x = 3 b) x = 2 c) x = 18x + 48 d) x = 51
Solution :
17x = x + 48
Subtract x from both sides.
17x – x = x – x + 48
16x = 48
Divide both sides by 16.
16x/16 = 48/16
x = 3
So, the value is x = 3.
Problem 3 :
Find the value of x in the trapezium ABCD given below.
Solution :
Sum of co interior angles = 180
x - 20 + x + 40 = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80
Problem 4 :
Find the value of y, if the perimeter of the trapezium is 142.
Solution :
y + 12 + y + 12 + y + y - 12 = 164
4y + 12 = 164
4y = 164 - 12
4y = 152
y = 152/4
y = 38
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM