Question

1. a triangle has a base of (3x + 1) cm and height of 4 cm. write an expression for the area. (remember: area = 1/2 × base × height)

Explanation:

Step1: Substitute base and height into formula

Given \( \text{base}=(3x + 1)\text{ cm}\), \( \text{height}=4\text{ cm}\), and \( \text{Area}=\frac{1}{2}\times\text{base}\times\text{height}\).
Substitute values: \( \text{Area}=\frac{1}{2}\times(3x + 1)\times4\).

Step2: Simplify the expression

First, \( \frac{1}{2}\times4 = 2\).
Then, \( 2\times(3x + 1)=2\times3x+2\times1\).
So, \( \text{Area}=6x + 2\).

Answer:

\(6x + 2\)