-3 ( - 3 v + 4 y - 2 )
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Find the area of each figure. Round to the nearest tenth if
necessary.
(Example
(02 cm
12 cm
6 yd
4.5 cm
16 yd
8 yd
2 cm
show) 24 yd
5 cm
1 m.
15 c
15 m
Answer:
1. 64 cm²
2. 240 yard²
3. 85.13 cm²
4. 193.36 m²
Step-by-step explanation:
Ques 1: We are given two rectangle with dimensions,
Length = 12 cm, Width = 4.5 cm and Length = 5 cm, Width = 2 cm.
As, we know, Area of a rectangle = Length × Width
So, we have,
Area of 1st rectangle = 12 × 4.5 = 54 cm²
Area of 2nd rectangle = 5 × 2 = 10 cm²
Thus, the total area of the figure = 54 + 10 = 64 cm²
Ques 2: We are given a triangle and a rectangle with dimensions,
Triangle: Base = 24-12 = 12 yd and Height = 8 yd
As, Area of a triangle =
i.e. Area of the triangle =
i.e. Area of the triangle =
i.e. Area of the triangle = 48 yard²
Rectangle: Length = 24 yd, Width = 8 yd
As, we know, Area of a rectangle = Length × Width
i.e. Area of a rectangle = 24 × 8 = 192 yard²
So, the total area of the figure = 48 + 192 = 240 yard².
Ques 3: We are given a triangle and a semi-circle with dimensions,
Triangle: Base = 8 cm and Height = 15 cm
As, Area of a triangle =
i.e. Area of the triangle =
i.e. Area of the triangle =
i.e. Area of the triangle = 60 cm²
Semi-circle: Diameter = 8 cm implies Radius = 4 cm.
So, Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle = 25.13 cm²
Thus, the total area of the figure = 60 + 25.13 = 85.13 cm²
Ques 4: We are given a rectangle and a semi-circle of dimensions,
Rectangle: Length = 15 m, Width = 7 m.
As, we know, Area of a rectangle = Length × Width
i.e. Area of a rectangle = 15 × 7 = 105 m²
Semi-circle: Diameter = 15 m implies Radius = = 7.5 m
So, Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle = 88.36 m²
Thus, the total area of the figure = 105 + 88.36 = 193.36 m²
–30.2
B.
–15.8
C.
15.8
D.
30.2