doug has 8 square pieces of wood. each piece of wood has a side length of s centimeters. the total area of…

doug has 8 square pieces of wood. each piece of wood has a side length of s centimeters. the total area of all 8 pieces of wood is 200 square centimeters. create a quadratic equation doug can use to find the side length of each piece of wood.

doug has 8 square pieces of wood. each piece of wood has a side length of s centimeters. the total area of all 8 pieces of wood is 200 square centimeters. create a quadratic equation doug can use to find the side length of each piece of wood.

Answer

Explanation:

Step1: Find area of one square

The area of a single - square piece of wood with side length $s$ is $A = s^{2}$ (using the formula for the area of a square $A = side\times side$).

Step2: Find total area of 8 squares

Since there are 8 square pieces of wood, the total area $T$ is $T=8s^{2}$.

Step3: Set up the equation

We know that the total area $T = 200$ square centimeters. So, the quadratic equation is $8s^{2}=200$.

Answer:

$8s^{2}=200$