Chapter 11.1, Problem 28PPS

a.

To determine

To Find: To find the area of the red region triangle.

Answer to Problem 28PPS

The area is 1square feet for both region.

Explanation of Solution

Given information: Given red region triangle with base 2feet and height 1feet and height of yellow region is 1feet.

Formula used: Area of triangle $=\frac{1}{2}\times \text{base}\times \text{height}$

Calculation:

Since the given base is 2 feet and height is1 feet for the red region triangle

Therefore, area of the red region triangle is

  $\begin{array}{l}=\frac{1}{2}\times 2\times 1\\ =1\text{square}\text{feet}\end{array}$

Hence the area of the red region triangle is 1 square feet.

Also, the area of yellow region triangle is

  $\begin{array}{l}\text{=Area}\text{of}\text{big}\text{triangle}-\text{Area}\text{of}\text{small}\text{triangle}\\ \text{=}\frac{1}{2}\times 2\times (1+1)-\frac{1}{2}\times 2\times 1\\ =2-1\\ =1\text{square}\text{feet}\end{array}$

Hence the area of yellow region triangle is 1 square feet.

b.

To determine

To Find: To find the total cost of fabric.

Answer to Problem 28PPS

The cost is $143.64.

Explanation of Solution

Given information: Given Flag with base and height is 2feet.

Formula used: Area of parallelogram $=\text{base}\times \text{height}$

Calculation:

Since the given flag is a square with side 2 feet

Therefore, area of the given flag is

  $2\times 2=4\text{square}\text{feet}$

Now, cost of fabric is $3.99per square yard that is $35.91 per square feet

Thus, the total cost is $\begin{array}{l}=4\times 35.91\\ =143.64\end{array}$

Hence the amount spent on fabric is $143.64