A school will create a walkway across a rectangular portion of land on the campus. The rectangular portion of land has a length of 80 yards and a width of 60 yards. Two options for the walkway are shown.
Three students offered the following solutions regarding the perimeters of the 2 walkways.
Hailey stated that the perimeter of the walkway in option 1 is shorter than the perimeter of the walkway in option 2.
Kirk stated that the perimeter of the walkway in option 2 is shorter than the perimeter of the walkway in option 1.
Adrienne stated that there was not enough information to compare the perimeters of the walkways.
Which student is correct? Find the perimeter of each walkway as part of your answer. Show your work or explain your answer.
Question 4
4.
Triangle DEF has sides with lengths of 4, 11, and 12 units. Â Determine whether this triangle is a right triangle. Â Show all work necessary to justify your answer.
Question 5
5.
A right triangle has a hypotenuse with a length of 25. Â The lengths of the legs are whole numbers. What could be possible lengths of the legs?
Question 6
6.
Question 7
7.
Question 8
8.
Classify the following triangle as an obtuse triangle, an acute triangle, or a right triangle.
7-7-7
7-24-25
2-3-5
Right Triangle
Acute Triangle
Obtuse Triangle
A ramp is 15 feet long with a height of 4 feet of the ground. What is the length of the base?
Square root of 241
209 ft
Square root of 209
11 ft
Find the missing leg?
6
Square root of 84
84
116
On a right triangle, one leg measures 7 inches and the other leg measures 24 inches. How much does the hypotenuse measure?
31
square root of 600
17
25
A right rectangular prism has a length of 3 cm, a width of 4cm, and a height of 12 cm. What is the rectangular prism’s interior diagonal (3-D diagonal)?