Quantitative Aptitude Quest
Area
If the altitude of a triangle increases by 5% and the base of the triangle increases by 7%, by what percent will the area of the triangle increase?
1. 3.33%
2. 12%
3. 5%
4. 12.35%
Area = 1/2(altitude)(base). The increased altitude is (1.05) altitude and the increased base is (1.07) base. Therefore, the increased area is 1/2(1.05)(1.07)(altitude)(base). So the increased area is (1.1235) area. Thus, the area has increased by 12.35%.