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15. Find the cost of carpeting the following rectangular
rooms:
a) 6.5 m * 4.5 m; cost = $13.85>m2
b) 15 ft * 11 ft; cost = $30>yd2
a)
11
.
405
85
.
13
25
.
29
25
.
29
5
.
4
5
.
6
2
=
⋅
=
=
⋅
=
Cost
m
A
b)
4950
30
165
165
11
15
2
=
⋅
=
=
⋅
=
Cost
ft
A

20. Find the area of each of the following shaded parts. Assume
all arcs are circular with centers marked. Leave all
answers in terms of
π
1. The area of the entire circle is 4π and the area of each small circle is π => The area of the
shaded part is 4π - 2π = 2π
2. The area of the triangle (2*2)/2 = 1 cm² and the are of semicircle is
2
π
=>
The area of the shaded part is (1 +
2
)
cm²
3. The area of the entire circle is 4π
and we can observe that the entire circle is shaded by half
( if we switch the shaded part with the part that is not shaded) => The are of shaded part is 2π
4. The area of the shaded part is 45.6cm²

Assessment 13-3A
13.A builder needs to calculate the dimensions of a regular
hexagonal window. Assuming the height

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