Question

1. what is the area and perimeter of a polygon with vertices (1, - 2), (1, 5), and (7, - 2)? area__ perimeter__ 8. the blueprint shows valeries kitchen. the shaded portion represents the counter space, and the unshaded portion is the floor. a. valerie wants to purchase floor tile, which is sold by the square foot. if each unit on the blueprint represents a foot, how much tile will she need to purchase? b. valerie also wants to purchase marble countertops. how many square feet of marble will she need to purchase? c. finally, valerie wants to purchase trim for the perimeter of her floors. how many feet of trim will she need? 9. what is the distance between the coordinates (-12, - 4) and (-1, 56)? a. 53.2 b. 53.6 c. 61 d. 61.4

Explanation:

Step1: Calculate distance between points

Use distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$

Step2: Calculate area and perimeter for polygon

Analyze polygon's shape with given vertices

Step3: Analyze blueprint areas

Divide blueprint shapes to find areas

Answer:

1. Area: 21, Perimeter: 20
2. A. 48 square - feet, B. 24 square - feet, C. 32 feet
3. C. 61