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Tomtit [17]
3 years ago
8

Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce

ntimeters and the width is 15 centimeters. What is the area of the park
Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

The area of the park is 108\ m^{2}

Step-by-step explanation:

we know that

The scale drawing is \frac{5}{3}\frac{cm}{m}

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

20/(5/3)=12\ m

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

15/(5/3)=9\ m

step 3

Find the area of the park

A=(12)(9)=108\ m^{2}

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iogann1982 [59]

Answer:

x=6

Step-by-step explanation:

Hi there!

<u>1) Determine the perimeter of the square</u>

We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.

Find the side length of the square using the area formula:

A=l^2 where l is the side length

Plug in the given area 121 in.²

121=l^2

Take the square root of both sides

\sqrt{121} = \sqrt{l^2} \\11=l

Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:

P=4l where l is the side length

P=4(11)\\P=44

Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.

<u>2) Determine the value of x</u>

Use the formula for the perimeter of a rectangle:

P=2(l+w) where l is the length and w is the width

Plug in 3x and x-2 as the length and width

P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)

Plug in the perimeter 44 in.

44=2(4x-2)

Expand the parentheses

44=8x-4

Add 4 to both sides to isolate 8x

44+4=8x-4+4\\48=8x

Divide both sides by 8 to isolate x

\frac{48}{8}=\frac{8x}{8}  \\6=x

Therefore, the value of x is 6.

I hope this helps!

4 0
3 years ago
More help... please... I'm very stuck​
34kurt
You just have to add or subtract the percent of a number from the original

A) 5percent of 40=2 ( 0.05*40)
Since it’s increase add 2 to 40=42

F) 40percent of 25= 10 (0.4* 25)
25-10=15
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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A soup kitchen makes 15 gallons of soup each day a quarter of the soup is served and the rest is saved for the next day , what i
Sophie [7]

Number of ounces left is 1120

Step-by-step explanation:

  • Step 1: Find number of ounces left after each day.

Given total soup prepared each day = 15 gallons

Amount served each day = 1/4 of 15 = 15/4 gallons

Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons

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35/4 gallons = 35/4 × 128 = 1120 ounces

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