A rectangle is made up by the lines x = 3, x = 8, y = 8 and y = -1. What is the area of the rectangle.
2 Answers
justaguide | College Teacher | (Level 2) Distinguished Educator
The rectangle is made up by the lines x = 3, x = 8, y = 8 and y = -1. A rectangle with sides a and b has area A = a*b.
To find the area of the rectangle in the problem, first determine the length of its sides.
As a pair of opposite sides is x = 3 and x = 8, the length of one of its sides is 8 - 3 = 5. The other side has length 8 + 1 = 9.
The area of the rectangle is 9*5 = 45 square units.
The area of the rectangle is 45 square units.
tonys538 | Student, Undergraduate | (Level 1) Valedictorian
The equations of the lines that make up the rectangle are x = 3, x = 8, y = 8 and y = -1.
Now, x = 3 and x = 8 are vertical lines. The horizontal distance between these lines is 8 - 3 = 5.
The lines y = 8 and y = -1 are horizontal lines with the distance between them being 8 - (-1) = 9
The rectangle formed by the 4 lines has sides with length 5 and 9. The area of the rectangle is 9*5 = 45