The height of a triangle is decreased by 25% and its base increased by 50%.
The height of a triangle is decreased by 25% and its base increased by 50%. Its area will
Answer/Solution
increase by 12.5%
Steps/Work
Explanation :
Let the initial height be 100 and the base be 200 units.
∴ Area = 1/2 x 100 x 200 = 1000sq units
Now, height = 75 units and base = 300 units
∴ New area = 1/2 x 75 x 300 = 11250
∴ Area is increased by (11250 - 10000)/10000 x 10
= 12.5%
Answer : Option B
Let the initial height be 100 and the base be 200 units.
∴ Area = 1/2 x 100 x 200 = 1000sq units
Now, height = 75 units and base = 300 units
∴ New area = 1/2 x 75 x 300 = 11250
∴ Area is increased by (11250 - 10000)/10000 x 10
= 12.5%
Answer : Option B