Find the area of the polygon
1 answer:
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Answer:
1)Area of the Land is 48 square meters
2) Area of flower bed is 28.26 square meter
3)Area of land excluding flower bed is 19.74 square meters
4)cost of planting grass in land excluding flower bed is Rs 118.44
Step-by-step explanation:
Given:
Length of the Rectangular plot = 8m
Width of the rectangular plot = 6m
Radius of the circular flower bed = 3m
1)Area of the Land
Area of the Rectangular plot = Area of the Land
Area of the Land = length x width
Area of the Land = 8*6
Area of the Land = 48 square meters-----------------------------(1)
2. Area of flower bed
Area of flower bed = 4 x area of one quadrant
Area of flower bed = area of the circle
Area of flower bed =
where r is the radius
Now , substituting the values
Area of flower bed =
Area of flower bed = 28.26 square meters-----------------------------(2)
3)Area of land excluding flower bed
Area of land excluding flower bed = Area of the rectangular land - area of flower beds
Area of land excluding flower bed = 48 - 28.26
Area of land excluding flower bed = 19.74 square meters
4)cost of planting grass in land
Cost of planting grass per square meter = 6
Excluding the flower bed we have 19.74 square meters. to plant grass for this 19. 74 square meters, the cost will be
=
= Rs 118.44
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!
