Lesson 17: Practice Problems

Problem 1

A landscape architect is designing a pool that has this top view:

A polygon with sides (in feet): 12, 9, 10.7, 1.5, and 11. There are right angles between 9 and 12, 12 and 11, and 11 and 1.5.

How much water will be needed to fill this pool 4 feet deep?
Before filling up the pool, it gets lined with a plastic liner. How much liner is needed for this pool?
Here are the prices for different amounts of plastic liner. How much will all the plastic liner for the pool cost?
plastic liner (ft²)
cost ($)
$25$
$3.75$
$50$
$7.50$
$75$
$11.25$

plastic liner (ft²)	cost ($)
$25$	$3.75$
$50$	$7.50$
$75$	$11.25$

Problem 2 From Unit 6 Lesson 15

Shade in a base of the trapezoidal prism. (The base is not the same as the bottom.)
Find the area of the base you shaded.
Find the volume of this trapezoidal prism.

Problem 3

Han draws a triangle with a $50^{\circ}$ angle, a $40^{\circ}$ angle, and a side of length 4 cm as shown. Can you draw a different triangle with the same conditions?

A right triangle with a horizontal side. The angle with the right angle symbol is directly above the horizontal side. The bottom left angle of the triangle measures 40 degrees and the bottom right angle measures 50 degrees. The side opposite the 40 degree angle is labeled 2 point 6 centimeters. The side opposite the 50 degree angle is labeled 3 point 1 centimeters. The horizontal side is labeled 4 centimeters.