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damaskus [11]
2 years ago
10

A city park is in the shape of a square. The area of the park is 441 yards2. How many feet long is one side of the park? A) 7 fe

et B) 49 feet C) 63 feet D) 74 feet
Mathematics
1 answer:
IceJOKER [234]2 years ago
3 0

Answer:

One side of the park is 63 feet.

C is the correct option.

Step-by-step explanation:

We have been given that the shape of the city park is a square and the area if the park is 441 square yards.We have to find the side of the park.

We know that the four sides of a square is equal and the area is given by

A=\text{(side)}^2

On substituting the value of area, we get

441=\text{(side)}^2

Take square root both sides and ignore the negative values of side

\sqrt{441}=\text{side}

On simplifying, we get

Side = 21 yards

Now, we know that

1 yard = 3 feet

Hence, we have

21 yards = 3×21 = 63 feet

Therefore, one side of the park is 63 feet.

C is the correct option.

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Assuming the shape of the room is a rectangle :

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Let's call width "w" and length "l" . Now if, the width is 4/5 of the length that means 4/5 times length gives us the width, like this :

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\frac { 4 }{ 5 } \cdot l\cdot l=320\\ \\ \frac { 4 }{ 5 } \cdot { l }^{ 2 }=320\\ \\ { l }^{ 2 }=320\cdot \frac { 5 }{ 4 } \\ \\ { l }^{ 2 }=\frac { 320\cdot 5 }{ 4 } \\ \\ { l }^{ 2 }=\frac { 1600 }{ 4 } \\ \\ { l }^{ 2 }=400\\ \\ \sqrt { { l }^{ 2 } } =\sqrt { 400 } \\ \\ l=20

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w.l=320\quad \Longrightarrow \quad w\cdot 20=320\quad \Longrightarrow \quad w=\frac { 320 }{ 20 } \quad \Longrightarrow \quad w=16

The length is 20 feet and the width is 16 feet.


6 0
3 years ago
Read 2 more answers
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