Question

Angelo drew a large square with an area of 100 square units. If he divided the large square into four congruent smaller squares, what is the side length of each of the small squares?

Answer 1

5 units

Explanation:

find the length of the side

the area of a square is given by :

then Let

Area= 100 square units

replace and solve for side

Step 2

now, the square is divided

now, to check the measure of the side length of each of the small squares we need divide the original side by 2

so

therefore, the answer is

5 units

Answer 2

The area of the large square is 100 square units, so the side length of the large square can be found by taking the square root of 100:

√100 = 10

Therefore, the side length of the large square is 10 units.

When the large square is divided into four congruent smaller squares, each square has an equal area. Since the area of the large square is 100 square units, each of the smaller squares must have an area of:

100/4 = 25 square units

The side length of each smaller square can be found by taking the square root of 25:

√25 = 5

Therefore, the side length of each of the small squares is 5 units.