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 | Measurements (in inches) | Area (in square inches)
--------------------------------------------------------------
Rectangle | Length = 6, Width = 4 | 6 x 4 = 24
Triangle | Base = 5, Height = 3 | 0.5 x 5 x 3 = 7.5
Circle | Radius = 2 | π x 2^2 = 4π
By decomposing the triangle into two right triangles:
Triangle | Base1 = 3, Height1 = 3 | 0.5 x 3 x 3 = 4.5
Triangle | Base2 = 2, Height2 = 3 | 0.5 x 2 x 3 = 3
Total Area of triangle = 4.5 + 3 = 7.5
Total Area of all shapes = 24 + 7.5 + 4π = 24 + 7.5 + 12.57 ≈ 43.07 square inches