options: Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.

Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
problem_activity: Problem 1
A new park is being built in the city. In the park, there will be a cemented walkway that will wind through the park. The walkway will be completely enclosed by a short, gated fence that will line the path on all sides of the path. The blueprint for the pathway is shown in the coordinate plane below. Each square unit in the coordinate grid represents 1 square yard.
[IMG]
a.   The city budget includes enough funds to include 50 square yards of cement and 60 yards of fencing. Will the budget cover the necessary expenses for cement and fencing? Defend your answer.
b.   Two statues will be placed at points
$${(-1, 2)}$$
and
$${(-1, -4).}$$
How far apart, in yards, are the two statues?
Problem 2
You are responsible for a small plot of land in the community garden that measures
$$9$$
ft.
$$\times $$
$$9$$
ft. You want to include
$${48}$$
square feet of gardening space, and you want your garden to have at least one rectangle shape and at least one triangle shape.
Draw a possible plan for your garden on the grid below. Make sure you do not go outside of the
$$9$$
ft.
$$\times $$
$$9$$
ft. space.
[IMG]


correct_option_index: 0

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