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.

Question

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

432 Feet

108 Feet

216 Feet

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

The length of the playscape space is the difference between the x-coordinates of the points: 7 - (-5) = 12 units = 24 feet.

The width of the playscape space is the difference between the y-coordinates of the points: 6 - (-3) = 9 units = 18 feet.
Therefore, the area of the playscape space is length x width = 24 x 18 = 432 square feet.
The correct answer is 432 Feet.