Question

4.6 assigned work - applications

1. find an expression for the perimeter and area for the rectangles below; dimensions are given

a)
b)

Explanation:

Part a)

Perimeter

Step1: Recall perimeter formula

Perimeter of rectangle \(P = 2(l + w)\), where \(l=4x + 7\) and \(w = 2x-5\).

$$
LATEXBLOCK0
$$

Step2: Recall area formula

Area of rectangle \(A=l\times w\), where \(l = 4x + 7\) and \(w=2x - 5\).

$$
LATEXBLOCK1
$$

Part b)

Perimeter

Step1: Recall perimeter formula

Perimeter of rectangle \(P = 2(l + w)\), where \(l=5x-13\) and \(w = 3x-14\).

$$
LATEXBLOCK2
$$

Step2: Recall area formula

Area of rectangle \(A=l\times w\), where \(l = 5x-13\) and \(w=3x - 14\).

$$
LATEXBLOCK3
$$

Answer:

• a)
• Perimeter: \(12x + 4\)
• Area: \(8x^{2}-6x - 35\)
• b)
• Perimeter: \(16x-54\)
• Area: \(15x^{2}-109x + 182\)