Question

The upper-left coordinates on a rectangle are (-1,4) and the upper-right coordinates are (3,4).The rectangle has a perimeter of 24 units Draw the answer on the coordinate planes

Answer 1

The answer is below

Explanation:

Perimeter of a rectangle = 2(length + breadth)

24 = 2(length + breadth)

length + breadth = 12

The distance between the points of the rectangle (-1, 4) and (3,4) is given as:

`Distance=√((x_2-x_1)^2+(y_2+y_1)^2)\\ \\Distance=√((3-(-1))^2+(4-4)^2)=4\ units`

The breadth = 4 units

Length + 4 = 12

Length = 8 units

The lower left x coordinate would be the same as the upper left x coordinate, let us assume that the lower left y coordinate = a

Hence lower left coordinate = (-1, -a). The distance between (-1,4) and (-1, -a) is the length = 6 units

`6=√((-1-(-1))^2+(-a-4)^2)\\ \\a=-10`

lower left coordinate = (-1, 10)

The lower right x coordinate would be the same as the upper right x coordinate, let us assume that the lower right y coordinate = -b

Hence lower right coordinate = (3, -b). The distance between (3, 4) and (3, -b) is the length = 6 units

`6=√((3-3)^2+(-b-4)^2)\\ \\b=-10`

lower right coordinate = (3, -10)