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o8792954Lv1
5 Apr 2023
Calculate the area of each of the polygons with the following dimensions.
1. Triangles
-
- B = 4in, H = 5in
-
- B = 6ft, H= 10ft
- B = 12m, H = 15m
- Application: Sandy is making tablecloths in the shape of triangles. She needs to make two triangle tablecloths for one table. The triangles have base of 2 ft and a height of 4 ft. What is the total area of the triangle tablecloths for one table?
2. Parallelogram (H = height) and (B = base)
-
- H = 9in, B = 6in
-
- H = 5 ft, B = 2ft
-
- H = 7yds, B = 3yds
- Application: If a parallelogram has a base of 13 mm and an area of 78 mm2 what is the height?
Hint: Use the formula. Substitute the given values and then solve as an equation.
3. Rectangle (L = length) and (w = width)
-
- rect. DKIF with L = 8 ft and w = 6 ft
-
- rect. AOPU with L = 13 ft and w = 5 ft
- Application: Charles is paining the den. Two walls are 9 ft high and 15 ft long. The other two walls are 8 ft high and 10 ft long. Charles bought one gallon of paint that will cover 440 square feet of wall space. Does he have enough paint? Explain.
4. Rhombus ( d1 = diagonal 1) (d2 = diagonal 2)
-
- rhombus with d1 = 12 yds and d2 = 12 yds
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- rhombus with d1 = 10 ft and d2 = 25 ft
-
- rhombus with d1 = 16 in and d2 = 22 in
- Application: a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?
5. Trapezoid ( b1 = base 1) (b2 = base 2) (H = height)
-
- b1 = 6 ft, b2 = 7 ft, H = 10 ft
-
- b1 = 5 yds, b2 = 8 yds, H = 4 yds
- c. b1 = 9 in, b2 = 11 in, H = 13 in
- d. Application: The two bases of a trapezoid = 16 km and its area = 32 km2. What is its height?
Hint: Use the formula. Substitute the given values and then solve as an equation.
Calculate the area of each of the polygons with the following dimensions.
1. Triangles
-
- B = 4in, H = 5in
-
- B = 6ft, H= 10ft
- B = 12m, H = 15m
- Application: Sandy is making tablecloths in the shape of triangles. She needs to make two triangle tablecloths for one table. The triangles have base of 2 ft and a height of 4 ft. What is the total area of the triangle tablecloths for one table?
2. Parallelogram (H = height) and (B = base)
-
- H = 9in, B = 6in
-
- H = 5 ft, B = 2ft
-
- H = 7yds, B = 3yds
- Application: If a parallelogram has a base of 13 mm and an area of 78 mm2 what is the height?
Hint: Use the formula. Substitute the given values and then solve as an equation.
3. Rectangle (L = length) and (w = width)
-
- rect. DKIF with L = 8 ft and w = 6 ft
-
- rect. AOPU with L = 13 ft and w = 5 ft
- Application: Charles is paining the den. Two walls are 9 ft high and 15 ft long. The other two walls are 8 ft high and 10 ft long. Charles bought one gallon of paint that will cover 440 square feet of wall space. Does he have enough paint? Explain.
4. Rhombus ( d1 = diagonal 1) (d2 = diagonal 2)
-
- rhombus with d1 = 12 yds and d2 = 12 yds
-
- rhombus with d1 = 10 ft and d2 = 25 ft
-
- rhombus with d1 = 16 in and d2 = 22 in
- Application: a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?
5. Trapezoid ( b1 = base 1) (b2 = base 2) (H = height)
-
- b1 = 6 ft, b2 = 7 ft, H = 10 ft
-
- b1 = 5 yds, b2 = 8 yds, H = 4 yds
- c. b1 = 9 in, b2 = 11 in, H = 13 in
- d. Application: The two bases of a trapezoid = 16 km and its area = 32 km2. What is its height?
Hint: Use the formula. Substitute the given values and then solve as an equation.
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