Question

a rectangle is given below.
3.7x + 5
0.5x
part a: find the area in terms of x.
area: x²+ x
units²
part b: if the value of x is 3 cm, what is the area of the rectangle in square centimeters?
area: cm²

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width. Here, $l = 3.7x + 5$ and $w=0.5x$.

Step2: Multiply length and width

$$
LATEXBLOCK0
$$

Step3: Substitute $x = 3$ for part B

When $x = 3$, we substitute into the area formula $A=1.85x^{2}+2.5x$.

$$
LATEXBLOCK1
$$

Answer:

Part A: Area: $1.85$ $x^{2}+2.5$ $x$ units$^{2}$
Part B: Area: $24.15$ $cm^{2}$