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3 years ago

Lily is redecorating her house. She needs to work out the area of the wall around her

Mathematics

1 answer:

Elanso [62]3 years ago

3 0

*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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1
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3
+
3
2
3
x
−
11
=
x
3
+
3
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−
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−
1
1
=

3
+
3
2
x
3
−
11
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3
+
3
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1
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3
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1
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3
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3
+
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32x+33(−11)=3x+3
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−
1
1
)
3
=

3
+
3
2
x
+
3
(
−
11
)
3
=
x
3
+
3
32x+3(−11)=3x+3
4
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2

+
3
(
−
1
1
)
3
=

3
+
3
2
x
+
3
(
−
11
)
3
=
x
3
+
3
32x+3(−11)=3x+3
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3
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3
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3
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9
2
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33
=
x
+
9
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10
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3
3
33
33
to both sides of the equation
2

−
3
3
=

+
9
2
x
−
33
=
x
+
9
2x−33=x+9
2

−
3
3
+
3
3
=

+
9
+
3
3
2
x
−
33
+
33
=
x
+
9
+
33
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2

=

+
4
2
2
x
=
x
+
42
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x
x
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+
4
2
2
x
=
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2 years ago