A landscape architect is designing a decorative paving feature for a community park. The design consists of a rectangular base measuring 12.0 m by 8.0 m, with semicircular sections of radius 4.0 m removed from two opposite sides. Calculate the total area of paving material required, in square metres, correct to one decimal place.
General Mathematics Β· Unit 1 Β· Shape and measurement Β· Mensuration
Calculate areas, π΄, of standard two-dimensional objects in practical situations, including circles, sectors of circles, triangles, rectangles, parallelograms, trapeziums and composites. ο§ circle: π΄ = ππ2 where π is radius ο§ sector: π΄ = π 360 ππ2 where π is central angle and π is radius ο§ triangle: π΄ = 1 2 πβ where π is base length and β is perpendicular height ο§ parallelogram: π΄ = πβ where π is base length and β is perpendicular height ο§ trapezium: π΄ = 1 2 (π + π)β where π and π are parallel lengths and β is perpendicular height
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A decorative garden bed is composed of a rectangular section and a semicircular section joined together. The rectangle has dimensions $12 \text{ m}$ (length) by $5 \text{ m}$ (width). The semicircle is attached to one of the shorter ends of the rectangle and has a diameter equal to the width of the rectangle. a) Calculate the area of the rectangular section. (1 mark) b) Calculate the area of the semicircular section. (1 mark) c) Calculate the total area of the garden bed, correct to 1 decimal place. (1 mark)