Question

lesson 2 - roots
a bulletin board consists of four equal - sized cork squares arranged in a row to form a rectangle. if the total area of all four cork squares is 36 feet, what is the length in feet of the bulletin board?

Explanation:

Step1: Find area of one square

Since total area of 4 equal - sized squares is 36 square feet, area of one square $A_1=\frac{36}{4}=9$ square feet.

Step2: Find side - length of one square

For a square, $A = s^2$ (where $A$ is area and $s$ is side - length). If $A_1 = 9$ square feet, then $s=\sqrt{9}=3$ feet.

Step3: Find length of the rectangle

The rectangle is formed by 4 squares in a row. So the length of the rectangle $L = 4s$. Substituting $s = 3$ feet, we get $L=4\times3 = 12$ feet.

Answer:

12 feet