Learning Task 3:

C. GET THE ORDER

To solve the next problem, solutions are already presented but they are in disarray. So, what you are going to do now is to re-arrange the solution by placing each beside the appropriate hints/guides cited in the box below. Write your answers on a separate sheet of paper.

Problem: A rectangle has a width that is ten meters longer than its length. The area of the rectangle is 24 square meters. What are the dimensions of the rectangle?

Hints/Guides:

1. Choose a variable to represent the unknown.

2. Translate into mathematical expressions using the formula. A = l x w.

3. Apply the Distributive Property of Multiplication.

4. Place polynomials in one side and set the equation to zero by using Addition Property of Equality.

5. Factor the polynomial

6. Set to zero each of the factor by Zero Product Property.

7. Simplify equations by using Addition Property of Equality.

Place Your Order Here:

Choices:

1. A = width times length or 24 = (L + 10)(L).

2. Let L be the length L + 10 be the width.

3. 24 – 24 = L^2 + 10L – 24 0 = L^2 – 24.

4. 24 = L^2 + 10L.

5. 0 = (L + 12)(L – 2).

6. L + 12 = 0 or L – 2 = 0.

7. L + 12 – 12 = 0 – 12 or L – 2 + 2 = 0 + 2 or L = -12 or L = 2

**Answer:**

2, 1, 4, 3, 5, 6, 7 are the order of the approach.

**Step-by-step explanation:**

4.24-24=(L^2+10L.

2.Let L be the lenth L+10 be the width