(a) To find the area of the entire shape, we need to calculate the area of each individual shape and then add them all together.
Area of trapezoid = 1/2 * (base1 + base2) * height
Area of parallelogram = base * height
Area of square = side^2
Area of rectangle = length * width
In this case, we have:
Trapezoid: base1 = 30m, base2 = 15m, height = 9m
Parallelogram: base = 15m, height = 9m
Square: side = 9m
Rectangle: length = 15m, width = 34m
Calculating the areas:
Area of trapezoid = 1/2 * (30 + 15) * 9 = 202.5 m^2
Area of parallelogram = 15 * 9 = 135 m^2
Area of square = 9^2 = 81 m^2
Area of rectangle = 15 * 34 = 510 m^2
Adding all the areas together:
Total area = 202.5 + 135 + 81 + 510 = 928.5 m^2
Therefore, the area of the entire shape is 928.5 square meters.
(b) The shaded object is the rectangle with dimensions 15m by 34m.
(c) The object that is not shaded is the trapezoid, parallelogram, and square.
a) Find the area of the entire shape made of trapezoids, parallelograms, squares, and rectangles.
(b) Name the object that is shaded.
(c) Name the object that is not shaded.
34 m
30 m
15 m
9 m
1 answer