Aida's bedroom is on the top floor of her house. In her room, the roof slants downward, creating two congruent trapezoid-shaped walls. One of the walls in her room is 8- 6- 4. represented on the coordinate plane by quadrilateral ABCD. Each interval on the coordinate plane represents one foot. Aida and Marco are going to paint the two walls and want to place a strip of painter's tape along each edge of the walls so the paint does not touch any other wall, the ceilling, or the floor. 1a. What is the length of painter's tape (to the nearest whole foot) that Aida and Marco need to cover the edges of both walls? A(-5,-1) and B(6,3) 2 10 1b. Marco says he can drawa diagonal to divide trapezoid ABCD into a right and an isosceles triangle to determine the area of the trapezoid, Aida says she can draw a horizontal line segment to divide trapezoid ABCD into a rectangle and a right triangle. Who's correct? Explain your reasoning. 1c. One gallon of paint covers approximately 400 square feet. Aida estimates she has about one fourth of a gallon of paint remaining of the color she wants to use. Does she have enough paint for both walls? Explain your reasoning.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
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quadrilateral ABCD. Each inter
Aida's bedroom is on the top floor of her
house. In her room, the roof slants downward,
creating two congruent trapezoid-shaped
walls. One of the walls in her room is
represented on the coordinate plane by
quadrilateral ABCD. Each interval on the
coordinate plane represents one foot. Aida
and Marco are going to paint the two walls
and want to place a strip of painter's tape
along each edge of the walls so the paint does
not touch any other wall, the celing, or the
8-
6-
4+
B
2-
10
-2-
4-
floor.
1a. What is the length of painter's tape (to
the nearest whole foot) that Aida and
Marco need to cover the edges of both
-8-
walls? A(-5,-1) and B(6,3)
1b. Marco says he can draw a diagonal to divide trapezoid ABCD into a right and an isosceles
triangle to determine the area of the trapezoid, Aida says she can draw a horizontal line
segment to divide trapezoid ABCD into a rectangle and a right triangle. Who's correct? Explain
your reasoning.
1c. One gallon of paint covers approximately 400 square feet. Aida estimates she has about
one fourth of a gallon of paint remaining of the color she wants to use. Does she have enough
paint for both walls? Explain your reasoning.
Emma and Kevin are designing a gazebo
for the local park. The polygon shown on
the coordinate plane represents the base
of the gazebo. Each interval on the
coordinate plane represents two feet.
2a. The base of the gazebo needs to be
built with lengths of lumber around
the outside to support the floorboards.
What is the length of lumber needed
for the outside of the base?
(0. 16)
164
12-
-15, 8)
(15. 8)
16-128
10
12
4-
-15, 9
48-
(15.-9)
-12-
16-
o (0. -18)
2b. How many square feet of floorboards are needed for the base of the gazebo? Describe how
you determined your answer and show your work.
Transcribed Image Text:quadrilateral ABCD. Each inter Aida's bedroom is on the top floor of her house. In her room, the roof slants downward, creating two congruent trapezoid-shaped walls. One of the walls in her room is represented on the coordinate plane by quadrilateral ABCD. Each interval on the coordinate plane represents one foot. Aida and Marco are going to paint the two walls and want to place a strip of painter's tape along each edge of the walls so the paint does not touch any other wall, the celing, or the 8- 6- 4+ B 2- 10 -2- 4- floor. 1a. What is the length of painter's tape (to the nearest whole foot) that Aida and Marco need to cover the edges of both -8- walls? A(-5,-1) and B(6,3) 1b. Marco says he can draw a diagonal to divide trapezoid ABCD into a right and an isosceles triangle to determine the area of the trapezoid, Aida says she can draw a horizontal line segment to divide trapezoid ABCD into a rectangle and a right triangle. Who's correct? Explain your reasoning. 1c. One gallon of paint covers approximately 400 square feet. Aida estimates she has about one fourth of a gallon of paint remaining of the color she wants to use. Does she have enough paint for both walls? Explain your reasoning. Emma and Kevin are designing a gazebo for the local park. The polygon shown on the coordinate plane represents the base of the gazebo. Each interval on the coordinate plane represents two feet. 2a. The base of the gazebo needs to be built with lengths of lumber around the outside to support the floorboards. What is the length of lumber needed for the outside of the base? (0. 16) 164 12- -15, 8) (15. 8) 16-128 10 12 4- -15, 9 48- (15.-9) -12- 16- o (0. -18) 2b. How many square feet of floorboards are needed for the base of the gazebo? Describe how you determined your answer and show your work.
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