Question

7-18When solving a problem about the perimeter of a rectangle using the 5-DProcess, Herman built the expression below.Perimeter = x + x + 4x + 4x feeta.Draw a rectangle and label its sides based on Herman's expression.b. What is the relationship between the base and height of Herman'srectangle? How can you tell?c.If the perimeter of the rectangle is 60 feet, how long are the base and heightof Herman's rectangle? Show how you know.

Answer 1

a.

A rectangle has opposite side equal to each other . Therefore, it can be drawn below

perimeter = x + x + 4x + 4x

b.

The relationship between herman rectanngle base and height can be express below

$\begin{gathered} 4\text{ times the height=base} \\ \text{let } \\ \text{height}=x \\ 4\times x=base \\ \text{base}=4x \end{gathered}$

c.

perimeter = 60 feet

$\begin{gathered} \text{perimeter}=x+x+4x+4x \\ 60=10x \\ x=\frac{60}{10} \\ x=6 \\ \\ \text{Base}=4x=4\times6=24\text{ f}eet \\ \text{height}=x=6\text{ f}eet \end{gathered}$