Area of trapezium is 153m^2 and altitude is 9m and one of the bases is 13m long. The measure of other base is _____?
- 169m^2
- 21m^2
- 21m
- None of these
Explanation
The area of a trapezium is given by:
Area = (1/2) × (sum of bases) × altitude
Given:
Area = 153 m^2
Altitude = 9 m
One base = 13 m
Let's denote the other base as 'b'. Then:
153 = (1/2) × (13 + b) × 9
Multiply both sides by 2:
306 = (13 + b) × 9
Divide both sides by 9:
34 = 13 + b
Subtract 13 from both sides:
b = 21
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