Question 1 FOLLOW THE DIRECTIONS

Question

(1 point)What is the area of the rectangle shown above? Round your answer to the nearest whole number A (4,2), B (10,4) C (6,16), and D(0,14)units2Question 2What is the perimeter of the rectangle shown above? Round your answer to the nearest whole number. (1 point)perimeter =unitsSkip to navigation

Answer 1

To determine the area and perimeter of the rectangle, we first need to identify its dimensions based on the given points A(4, 2), B(10, 4), C(6, 16), and D(0, 14).

Step 1: Identify the rectangle's dimensions.

1. Calculate length (horizontal distance):

   • The x-coordinates of points B (10, 4) and A (4, 2) show that B is further right than A.
   • Length = x-coordinate of B - x-coordinate of A = 10 - 4 = 6 units.

2. Calculate width (vertical distance):

   • The y-coordinates of points A (4, 2) and D (0, 14) can be compared to find the vertical distance.
   • Width = y-coordinate of D - y-coordinate of A = 14 - 2 = 12 units.

Step 2: Calculate the area.

Area of a rectangle = length × width

• Area = 6 units × 12 units = 72 square units.

Step 3: Calculate the perimeter.

Perimeter of a rectangle = 2 × (length + width)

• Perimeter = 2 × (6 + 12) = 2 × 18 = 36 units.

Final Answers:

• Area: 72 units²
• Perimeter: 36 units