1. 2.5 Formulas and Additional Applications from Geometry
Math 51
2.5
Formulas and Additional Applications from Geometry

2. A ________________ is an equation in which variables are used to describe a relationship. ex: 𝐶= 5 9 𝐹−32 , 𝑑=𝑟𝑡, 𝐴=𝜋 𝑟 2

3. A ________________ is an equation in which variables are used to describe a relationship. ex: 𝐶= 5 9 𝐹−32 , 𝑑=𝑟𝑡, 𝐴=𝜋 𝑟 2
formula

4. A ________________ is an equation in which variables are used to describe a relationship. ex: 𝐶= 5 9 𝐹−32 , 𝑑=𝑟𝑡, 𝐴=𝜋 𝑟 2
formula

5. A ________________ is an equation in which variables are used to describe a relationship. ex: 𝐶= 5 9 𝐹−32 , 𝑑=𝑟𝑡, 𝐴=𝜋 𝑟 2
formula

6. A ________________ is an equation in which variables are used to describe a relationship. ex: 𝐶= 5 9 𝐹−32 , 𝑑=𝑟𝑡, 𝐴=𝜋 𝑟 2
formula

7. Ex 1. Find the value of the variable that is not given

8. The __________ of a plane (2-D) geometric figure is a measure of the surface covered by the figure. (ex: How much hardwood flooring do you need? How many square feet of concrete do you need?)

9. The __________ of a plane (2-D) geometric figure is a measure of the surface covered by the figure. (ex: How much hardwood flooring do you need? How many square feet of concrete do you need?)
area

10. The __________ of a plane (2-D) geometric figure is a measure of the surface covered by the figure. (ex: How much hardwood flooring do you need? How many square feet of concrete do you need?)
area

11. The ______________ of a plane (2-D) geometric figure is the distance around the figure. (ex: How far is it around a building? How many feet of fencing do you need?)

12. The ______________ of a plane (2-D) geometric figure is the distance around the figure. (ex: How far is it around a building? How many feet of fencing do you need?)
perimeter

13. The ______________ of a plane (2-D) geometric figure is the distance around the figure. (ex: How far is it around a building? How many feet of fencing do you need?)
perimeter

14. ex: For a rectangle with size 𝑙 and 𝑤, the area is _________, and the perimeter is ____________.

15. ex: For a rectangle with size 𝑙 and 𝑤, the area is _________, and the perimeter is ____________.

16. ex: For a rectangle with size 𝑙 and 𝑤, the area is _________, and the perimeter is ____________.
𝑨=𝒍𝒘

17. ex: For a rectangle with size 𝑙 and 𝑤, the area is _________, and the perimeter is ____________.
𝑨=𝒍𝒘

18. ex: For a rectangle with size 𝑙 and 𝑤, the area is _________, and the perimeter is ____________.
𝑨=𝒍𝒘
𝑷=𝟐𝒍+𝟐𝒘

19. Ex 2. A garden is in the shape of a rectangle
Ex 2. A garden is in the shape of a rectangle. The length is 10 ft less than twice the width, and the perimeter is 160 ft. Find the dimensions of the garden.

20. Ex 3. The area of a triangle is 77 c m 2. The base is 14 cm
Ex 3. The area of a triangle is 77 c m 2 . The base is 14 cm. Find the height of the triangle.

21. Ex 4. Solve 𝐶= 5 9 𝐹−32 for 𝐹.

22. Formulas to remember: Area of rectangle: 𝐴=𝑙𝑤 Area of triangle: 𝐴= 1 2 𝑏ℎ Area of circle: 𝐴=𝜋 𝑟 2

23. Formulas to remember: Area of rectangle: 𝐴=𝑙𝑤 Area of triangle: 𝐴= 1 2 𝑏ℎ Area of circle: 𝐴=𝜋 𝑟 2

24. Formulas to remember: Area of rectangle: 𝐴=𝑙𝑤 Area of triangle: 𝐴= 1 2 𝑏ℎ Area of circle: 𝐴=𝜋 𝑟 2