Question

Find the area of the shaded region of the figure below. Each small square is 1 cm x 1cm.

Answer 1

Answer: 23 cm squared

Explanation:

Since the area of each square is 1 cm squared.

We can count up the number of squares which will be the total area.

There are 23 squares so the area of the region is 23 cm squared.

Answer 2

Answer: 23 cm²

Explanation:

Since the squares are each 1 cm × 1 cm, you can technically count all the shaded squares, but it is good to do it mathematically.

We can separate this shape into 1 parts. The top part sticking up is a square and the bottom, a rectangle. We find the area for both parts and add them together.

Square:

3 cm × 3 cm = 9 cm²

Rectangle:

2 cm × 7 cm = 14 cm²

Total:

9 cm² + 14 cm² = 23 cm²