Use a ruler to make any measurements you need to find the area of each shape.
Refer to your formulas to find out which measurements you will need. Record your
measurements in a table.
Calculate the area of each shape you used. Find the area of at least one shape by
composing a rectangle. Find the area of at least one shape by decomposing it into
simpler shapes. Record your calculations in a table.
Shape Area Formula Measurements Area
Example:
Square
A = s2 s = 2 in. A = 4 sq. in. Triangle | A = 0.5 x b x h | b = 4 cm, h = 6 cm | A = 12 sq. cm
Hexagon | A = 6 x ((s^2 x √3)/4) | s = 4 cm (side length) | A = 41.57 sq. cm
Shape | Area Formula | Measurements | Area
Rectangle | A = l x w | l = 8 cm, w = 5 cm | A = 40 sq. cm
Circle | A = π x r^2 | r = 3 cm | A = 28.27 sq. cm
Triangle | A = 0.5 x b x h | b = 6 cm, h = 4 cm | A = 12 sq. cm
Trapezoid | A = 0.5 x (b1 + b2) x h | b1 = 5 cm, b2 = 7 cm, h = 4 cm | A = 24 sq. cm
ok repeat my question
Sure! Here is your table:
Shape | Area Formula | Measurements | Area
Rectangle | A = l x w | l = 8 cm, w = 5 cm | A = 40 sq. cm
Circle | A = π x r^2 | r = 3 cm | A = 28.27 sq. cm
Triangle | A = 0.5 x b x h | b = 6 cm, h = 4 cm | A = 12 sq. cm
Trapezoid | A = 0.5 x (b1 + b2) x h | b1 = 5 cm, b2 = 7 cm, h = 4 cm | A = 24 sq. cm
Please let me know if you need any more information or calculations.
Square
A = s2 s = 2 in. A = 4 sq. in. Triangle | A = 0.5 x b x h | b = 4 cm, h = 6 cm | A = 12 sq. cm
Hexagon | A = 6 x ((s^2 x √3)/4) | s = 4 cm (side length) | A = 41.57 sq. cm see my table answer this with the table
Calculate the total area of the figure you designed. Show your work. Include the
correct units for area in your answer.
Describe in words how you calculated the area of each shape. Be sure to include
which formulas you used. For which polygon(s) did you compose a rectangle to find
the area? Which polygon(s) did you decompose into simpler shapes? Which simple
shapes did you use?
Shape | Area Formula | Measurements | Area
Square | A = s^2 | s = 2 in | A = 4 sq. in
Triangle | A = 0.5 x b x h | b = 4 cm, h = 6 cm | A = 12 sq. cm
Hexagon | A = 6 x ((s^2 x √3)/4) | s = 4 cm | A = 41.57 sq. cm
Total Area: 4 sq. in + 12 sq. cm + 41.57 sq. cm = 57.57 sq. cm
To calculate the area of each shape:
- For the square, I used the formula A = s^2 where s is the side length.
- For the triangle, I used the formula A = 0.5 x base x height and plugged in the given measurements.
- For the hexagon, I used the formula A = 6 x ((s^2 x √3)/4) where s is the side length.
I composed a rectangle to find the area of the triangle by multiplying the base by the height and then halving it as per the triangle area formula. I decomposed the hexagon into 6 equilateral triangles, found the area of one triangle, and then multiplied it by 6 to get the total hexagon area.
where did the rectangle come from do you mean square
Yes, I apologize for the confusion. I misspoke. In the previous response, where it mentions composing a rectangle, it should have been composing a square. Thank you for catching that mistake.
So, for the square, the area formula A = s^2 was used and the area calculation was based on the side length provided. No rectangles were involved in the calculations. Thank you for pointing that out.