Answer:
C. 48.5 sq.cm
Explanation:
1. First, find the area of the large rectangle. Area of a rectangle is length times width.
2. The size of the rectangle is 8cm by 4cm, and 8 times 4 is 32sq.cm
3. Next, find the size of the square. One of the sides is given to you (3cm), and to find the other just subtract the 4 from the 7, which also gives you 3cm.
4. 3cm * 3cm is 9sq.cm
5. The formula for the area of a triangle is length * width all divided by 2. The length of the triangle is 8 - 3 , or 5, and the width is 3. 5 * 3 = 15, and 15/2 is 7.5
6. Finally, add the areas of the separate shapes
7. 32 + 9 + 7.5 = 48.5 sq.cm