Question

4
Correctly sequence the steps to solve the following problem:
James is building a ramp and has a square piece of wood with an area of 0.64 square meters.
What is the side length of the piece of wood?

Solve for x by taking the positive square root


The side length of the cardboard is 0.8 meter
Translate into an equation x2 = 0.64
Solve for the square root of 0.64 → 4/0.64

Answer 1

To solve the problem step by step, you should follow these correct sequences:

1. **Translate into an equation**: Since the area of the square piece of wood is given as 0.64 square meters and the area (A) of a square is calculated as \( A = x^2 \), we can form the equation:
\[
x^2 = 0.64
\]

2. **Solve for x by taking the positive square root**: To find the side length of the square, take the positive square root of both sides to isolate \( x \):
\[
x = \sqrt{0.64}
\]

3. **Solve for the square root of 0.64**: This can be calculated as follows:
\[
x = \sqrt{0.64} = 0.8
\]

4. **State the result**: The side length of the piece of wood is:
\[
\text{The side length of the cardboard is } 0.8 \text{ meters.}
\]

So the correct sequence is: 1 → 2 → 3 → 4.