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kati45 [8]
3 years ago
5

MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75 per

square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?
Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

$1200

Step-by-step explanation:

Let the roof be square shaped

Area of the roof = L²

L is the side length of the roof

Given

L = 40ft

Area of the roof = 40²

Area of the roof = 1600ft²

If plants used for a green roof cost $0.75 per square foot, this means

1 ft² = $0.75

Let the cost needed to cover both sides of the roof be y, hence;

1600ft² = y

Divide both expressions

1/1600 = 0.75/y

y × 1 = 0.75×1600.

y = 0.75×1600

y = 1200

Hence it will cost $1200 to cover both sides of the roof

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Since two sides and one included angle is equal in △PQS and △PRS, we can conclude that they are congruent under the SAS congruence criterion.

Which means :

▪︎Angle S = Angle S

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Given :

Measure of segment QS = 6n+3

Measure of segment RS = 4n+11

Thus :

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= \tt6n + 3 - 4n = 11

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= \tt2n = 11 - 3

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=\tt n =  \frac{8}{2}

\hookrightarrow\color{plum}\tt n = 4

Thus, the value of n = 4

Measure of segment QS :

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= \tt6 \times 4 + 3

= \tt24 + 3

\color{plum}\tt \: \bold{QS = 6n + 3 = \tt\bold{27}}

Thus, measure of QS = 27

Measure of RS :

=\tt 4n + 11

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\color{plum}\tt \: \bold{RS = 4n + 11 = \tt\bold{27}}

Measure of QR :

=\tt 27+27

\color{plum}\tt \: \bold{QR = 27+27 \tt\bold{=54}}

Thus :

▪︎QS = 27

▪︎RS = 27

▪︎QR = 54

Therefore, the correct options are :

▪︎(C) SR = 27

▪︎(D) QR = 54

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