#1**+1 **

A composite figure is broken up into smaller pieces that are easy to solve.

There are two ways to break up into rectangles.

Either vertically or horizonatally(for this one)

If we do vertical, we have 2 rectangles that are size of 3*5 and 2*4.

3*5 + 2*4 = 15 + 8 = 23.

If we split it the other way,

3*3 and 2*7.

9 + 14 = 23.

hugomimihu Jun 17, 2020

#2**+1 **

I had another answer but im not pretty sure

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

Guest Jun 17, 2020

#3**+1 **

yeah, that's the other way as I wrote for "horizontally"

Do you need any clarification/ further explantion?

Also, many times, you don't have a grid, so learning to solve algebraicly is better than counting.

hugomimihu
Jun 17, 2020