Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
The area of a trapezium is 2,220 cm 2 . Its parallel sides are 29 cm and 31 cm. If the distance between parallel sides is x cm, find the value of x.
37
62
56
74
74
Notice the sum of parallel sides is 29 + 31 = 60. Then Area = (60/2) * x, so 30 * x = 2220. Divide 222 by 3 to get x = 74.
Area of trapezium A = 2220 cm┬▓, Parallel side 1 (a) = 29 cm, Parallel side 2 (b) = 31 cm, Height/Distance between sides = x cm
A=21тАЛ├Ч(a+b)├Чh
Notice the sum of parallel sides is 29 + 31 = 60. Then Area = (60/2) * x, so 30 * x = 2220. Divide 222 by 3 to get x = 74.
Many students mistake the sum (a+b) or forget to multiply by 1/2, leading to double the value (148) or half (37) depending on calculation errors.
Write down the formula
The formula for the area of a trapezium is given by the product of half the sum of the parallel sides and the height between them.
A=21тАЛ├Ч(a+b)├Чx
Substitute given values
Substitute A = 2220, a = 29, and b = 31 into the formula.
2220=21тАЛ├Ч(29+31)├Чx
Simplify and solve for x
Calculate the sum in the parentheses and solve for x: 29 + 31 = 60, then 60/2 = 30.
2220=30├ЧxтЯ╣x=302220тАЛ=74
D is correct because the calculation 2220=30├Чx leads to x=74.
This concept of base averaging is similar to finding the average speed when time intervals are equal, where you calculate the arithmetic mean of the two speeds.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants