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

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