Grade Level: 3 – 6

Starting now, we will be solving some problems with detailed solutions. Today, we’ll start with a problem about square and triangle.

**Problem**

The side of square *ABCD* is 12 cm. Point *P* is drawn on side *AB* and then connected to *D*. If the area of triangle *APD* = 60 square centimeters, what is the length of *AP*?

**Solution**

The area of a triangle is the product of half of its base and height. *ABCD* is a square, so *A* is a right angle; therefore, we can take *AP* and *AD* as base and height. We let *AP* = *n*. Continue reading