Answer:
Total area = 232.5 m²
Total cost to paint the area = £139.5
Step-by-step explanation:
Area of the composite figure = Area of trapezoid A + Area of rectangle B + Area of trapezoid C
Area of trapezoid A = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides and h is the distance between them.
Area of A = [tex]\frac{1}{2}(8+10)4[/tex]
= 36 square meter
Area of rectangle B = Length × width
= 12 × 10
= 120 m²
Area of trapezoid C = [tex]\frac{1}{2}(10+7)(9)[/tex]
= 76.5 m²
Therefore, area of the composite figure = 36 + 120 + 76.5
= 232.50 m²
Cost of paint = £6 for a tin that covers 10 m²
Therefore, total cost to paint the given figure = [tex]\frac{6}{10}\times 232.5[/tex]
= £139.5
