Understanding Perimeter and Dimensions of a Rectangle

Trey wants to build a rectangular garden using 14 ft of plastic edging. He uses the perimeter equation p = 2L + 2W to find suitable dimensions. By substituting 14 for p, he rewrites the equation as 14 = 2L + 2W and solves for W, resulting in W = 7 - L. Trey then uses this equation to determine possible garden dimensions for various lengths, ensuring the total perimeter remains 14 ft.

What is the total length of plastic edging Trey has for his garden?

• 14 ft

• 12 ft

• 16 ft

• 10 ft

What is the formula for the perimeter of a rectangle?

• P = L * W

• P = 2L * W

• P = 2L + 2W

• P = L + W

How does Trey modify the perimeter equation with his available plastic edging?

• 14 = L + W

• 14 = 2L + 2W

• 14 = L * W

• 14 = 2L * W

What is the first step in solving the equation for width?

• Subtract 2L from both sides

• Multiply both sides by 2

• Add 2L to both sides

• Divide both sides by 2

After isolating the W term, what operation is performed next?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

What is the expression for width (W) in terms of length (L)?

• W = L + 7

• W = L - 7

• W = 7 - L

• W = 7 + L

If the length of the garden is 3 ft, what is the width?

• 5 ft

• 4 ft

• 3 ft

• 2 ft

What are the possible dimensions if the length is 4 ft?

• 4 ft x 4 ft

• 4 ft x 3 ft

• 4 ft x 6 ft

• 4 ft x 5 ft

What is the width if the length is 5 ft?

• 4 ft

• 3 ft

• 2 ft

• 1 ft

What is the width if the length is 6 ft?

• 0 ft

• 1 ft

• 2 ft

• 3 ft