# The base of a triangle is increased by 66.6% and the altitude is decreased by 40%, then the change in the area of the triangle is ?

##### 3 Answers

#### Explanation:

Let the original base of the triangle be **b** and height be **h**.

After altering the triangle,

#### Explanation:

Suppose that the **base** and **altitude** of the triangle are

units, resp.

Then, its area

The **base** **increased** by

Similarly, the **new altitude**

#### Explanation:

#"note that "66.6%~~2/3" and "40%=2/5#

#"original area "=1/2bh#

#"new area with "b=5/3b" and "h=3/5h#

#"new area "=1/2xx5/3bxx3/5h=1/2bh#

#"the area remains unchanged"#