Answer:
<em>The family will need to purchase 187 square ft carpeting.</em>
Step-by-step explanation:
<u>Area of Rectangles</u>
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.
The coordinates of vertex B' is .
<h3>How to calculate the coordinate of point by reflection</h3>
A point if reflected across the line by means of the following formula:
(1)
Where:
If we know that and
, then the coordinates of the vertex is:
The coordinates of vertex B' is .
To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272