Question

1. in order to find the area of the rectangular figure below, a student has divided the figure into smaller rectangles using the dashed (---) lines. will dividing the figure like this allow them to find the area? why or why not?

Explanation:

The area of a composite - shaped figure can be found by dividing it into smaller, non - overlapping rectangles. The area of each smaller rectangle can be calculated using the formula $A = l\times w$ (where $l$ is length and $w$ is width), and then the areas of all the smaller rectangles can be summed up to get the area of the whole figure. Since the dashed lines divide the given figure into smaller rectangles, this method is valid for finding the area.

Answer:

Yes, because the figure is divided into smaller rectangles, and the sum of the areas of these smaller rectangles will give the area of the whole figure.