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makvit [3.9K]
3 years ago
15

Please help me. Noura is redecorating her house. She needs to work out the area of the wall around her triangular window in orde

r
to find out how much paint she
needs.

a) Calculate the area of the wall
she needs to paint, to a suitable level
of accuracy, explain your answer.
b) Paint is sold in 20 litres containers,
costing $21.99 per container. Use
your answer from part (a) to
calculate and explain how much it
will cost to paint the wall. Assume 1
litre of paint covers 1m2 *​

Mathematics
1 answer:
Vinvika [58]3 years ago
8 0

Answer:

a. 277.3 m²

b. $307.86

Step-by-step explanation:

a. Area of the wall to be painted = area of rectangle - area of triangle

= L × W + ½×a×b×sin θ

L = 17 m

W = 14 m

a = 8.7 m

b = 9.5 m

θ = 72°

Plug in the values into the equation

Area of the wall = (17×14) + (½*8.7×9.5×sin 72)

Area of the wall = 238 + 39.3024105

Area of the wall to paint ≈ 277.3 m²

b. 20 liters of paint of 1 container cost $21.99

If 1 liter of paint covers 1m², therefore,

277.3 m² will need = 277.3 × 1 = 277.3 liters of paint.

20 liters = 1 container of paint

277.3 liters = 277.3/20 = 13.865 ≈ 14 containers

1 container = $21.99

14 containers = 21.99 × 14 = $307.86

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