Lily is redecorating her house. She needs to work out the area of the wall around her
1 answer:
*the complete diagram is given in the attachment below
Answer:
✔️ 198.7 m²
✔️$219.9
Step-by-step explanation:
✔️Area around the wall to be painted = area of rectangle - area of triangle
= L×B - ½ab×sin(C)
Where,
L = 17 m
W = 14 m
a = 9.5 m
b = 8.7 m
C = 72°
Plug in the values
Area around the wall to be painted = 17×14 - ½×9.5×8.7×sin(72)
= 238 - 39.3024105
≈ 198.7 m² (nearest tenth)
✔️Cost of painting the wall:
Paint cost $21.99 per container of 20 liters
Find how many liters would be needed if 1 liter covers 1m²
Liters needed to cover 198.7 m² = 198.7*1 = 198.7 liters of paint
20 liters = 1 container,
198.7 liters = 198.7/20 = 9.935 ≈ 10 containers
1 container cost $21.99
10 containers = 21.99×10 = $219.9
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