2. Match the shapes given to their correct areas.
1. 40.6
2. 452.2
3. 25.7
4. 21.6
5. 43.2
6. 134.6

Applying the formula for each identified shape that are given, the correct areas to each shape are:
a. Square = 134.6 sq. yd
b. Circle = 452.2 sq. cm
c. Parallelogram = 40.6 sq. cm
d. Rectangle = 43.2 sq. ft
e. Trapezium = 25.7 sq. m
f. Triangle = 21.6 sq. ft
a. The shape given is a square.
Area of the square = [tex]s^2[/tex]
Where,
s = 11.6 yd
Plug in the value of s
Area of the square = [tex]11.6^2 = 134.6 $ yd^2[/tex]
b. The shape given is a circle.
Area of the circle = [tex]\pi r^2[/tex]
r = 12 cm
Area of the square = [tex]\pi \times 12^2 = 452.2 $ cm^2[/tex]
c. The shape given is a parallelogram.
Area of the parallelogram = [tex]bh[/tex]
b = 7 cm
h = 5.8 cm
Area of the parallelogram = [tex]7 \times 5.8 = 40.6 $ cm^2[/tex]
d. The shape given is a rectangle.
Area of the rectangle = [tex]l \times w[/tex]
l = 8.3 ft
w = 5.2 ft
Area of the rectangle = [tex]8.3 \times 5.2 = 43.2 $ ft^2[/tex]
e. The shape given is a trapezium.
Area of the trapezium = [tex]\frac{1}{2} (a + b) \times h[/tex]
a = 2.8 m
b = 10.4 m
h = 3.9 m
Area of the trapezium = [tex]\frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2[/tex]
f. The shape given is a triangle. (See attachment for the shape).
Area of the triangle = [tex]\frac{1}{2} \times b \times h[/tex]
b = 9 ft
h = 4.8 ft
Area of the triangle = [tex]\frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2[/tex]
Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:
a. Square = 134.6 sq. yd
b. Circle = 452.2 sq. cm
c. Parallelogram = 40.6 sq. cm
d. Rectangle = 43.2 sq. ft
e. Trapezium = 25.7 sq. m
f. Triangle = 21.6 sq. ft
Learn more here:
https://brainly.com/question/22560863