Question

Each set of coordinates forms a rectangle. Find the length of the base and height. Find the area. Find the perimeter.

H(10,7) I(10,-4)
J(15,-4) K(15,7)

Answer 1

Given coordinates, the length of the base can be found by subtracting the x-coordinates of two opposite vertices. In this case, it would be (15 - 10) = 5 units.

The height can be found by subtracting the y-coordinates of two opposite vertices. In this case, it would be (7 - (-4)) = 11 units.

The area of a rectangle is found by multiplying the length and height. In this case, it would be 5 * 11 = 55 square units.

The perimeter of a rectangle is found by adding up the lengths of all four sides. In this case, it would be 2 * (5 + 11) = 32 units.

Answer 2

To find the length of the base and height, we need to find the difference in the x-coordinates and the y-coordinates of the opposite corners of the rectangle. The length of the base is found by subtracting the x-coordinate of point H from the x-coordinate of point J, which is 15 - 10 = 5. The height is found by subtracting the y-coordinate of point I from the y-coordinate of point K, which is 7 - (-4) = 11.

The area of the rectangle is found by multiplying the length of the base by the height, which is 5 * 11 = 55.

The perimeter of the rectangle is found by adding up the lengths of all four sides, which is 2 * (5 + 11) = 2 * 16 = 32.