Jamal drew a blueprint of a playscape that he wants to install in the backyard for his kids on a coordinate grid. The overall space of the playscape will be rectangular. Jamal will form a border around the space with pavers and he will cover the space with small pebbles before he installs the equipment.
The coordinates of the rectangle on the blueprint are (-5, 6) , (7, 6) , (-5, -3) , (7, -3)
Each unit on the coordinate grid represents 2 feet.
What is the area of the playscape space, in square feet?
(1 point)
Responses
42 Feet
42 Feet
432 Feet
432 Feet
108 Feet
108 Feet
216 Feet
216 Feet
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To find the area of the playscape, we need to find the length and width of the rectangle represented by the coordinates given.
The length of the rectangle is the difference between the x-coordinates of the two points: 7 - (-5) = 12 units = 12 * 2 feet = 24 feet
The width of the rectangle is the difference between the y-coordinates of the two points: 6 - (-3) = 9 units = 9 * 2 feet = 18 feet
Therefore, the area of the playscape is 24 feet * 18 feet = 432 square feet.
So, the answer is 432 Feet.