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

Question

05-10-2021
Mathematics

Answered

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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

Sagot :

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akposevictor akposevictor · Answer 1 · 2021-10-18T05:22:19-04:00

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]

Where,

r = 12 cm

Plug in the value of r

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]

Where,

b = 7 cm

h = 5.8 cm

Plug in the value of b and h

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]

Where,

l = 8.3 ft

w = 5.2 ft

Plug in the value of l and w

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]

Where,

a = 2.8 m

b = 10.4 m

h = 3.9 m

Plug in the value of a, b, and h

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]

Where,

b = 9 ft

h = 4.8 ft

Plug in the value of b, and h

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: