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alukav5142 [94]
3 years ago
13

A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown

as the shaded region in the image). What is the area of the jogging path?

Mathematics
1 answer:
Burka [1]3 years ago
5 0
First, we need to find the area of the two rectangles in this picture. We know that area = l*w.

So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:

A=100*60=6000 m^{2}

So the larger rectangle area is 6000 m.

The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.

Let's find the area of the smaller rectangle:

A=96*56=5,376 m^{2}

So we know that the area of the smaller rectangle is 5,376 m.

The area of the jogging path is going to be the difference between these two rectangles. Let us solve:

6,000-5,376=624 m^{2}

So now we know that the area of the jogging path is 624 m^{2}.
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The 1st, 3rd, and 5th statements are correct.

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Answer:

See descriptions below.

Step-by-step explanation:

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3 years ago
2 2/5 multiplied by 2 multiplied by 3 1/5
goldfiish [28.3K]

Answer:

15 9/25

Step-by-step explanation:

1 Convert 2\frac{2}{5}2

5

2

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{2\times 5+2}{5}\times 2\times 3\frac{1}{5}

5

2×5+2

​

×2×3

5

1

​

2 Simplify  2\times 52×5  to  1010.

\frac{10+2}{5}\times 2\times 3\frac{1}{5}

5

10+2

​

×2×3

5

1

​

3 Simplify  10+210+2  to  1212.

\frac{12}{5}\times 2\times 3\frac{1}{5}

5

12

​

×2×3

5

1

​

4 Convert 3\frac{1}{5}3

5

1

​

 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

c

b

​

=

c

ac+b

​

.

\frac{12}{5}\times 2\times \frac{3\times 5+1}{5}

5

12

​

×2×

5

3×5+1

​

5 Simplify  3\times 53×5  to  1515.

\frac{12}{5}\times 2\times \frac{15+1}{5}

5

12

​

×2×

5

15+1

​

6 Simplify  15+115+1  to  1616.

\frac{12}{5}\times 2\times \frac{16}{5}

5

12

​

×2×

5

16

​

7 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

\frac{12\times 2\times 16}{5\times 5}

5×5

12×2×16

​

8 Simplify  12\times 212×2  to  2424.

\frac{24\times 16}{5\times 5}

5×5

24×16

​

9 Simplify  24\times 1624×16  to  384384.

\frac{384}{5\times 5}

5×5

384

​

10 Simplify  5\times 55×5  to  2525.

\frac{384}{25}

25

384

​

11 Convert to mixed fraction.

15\frac{9}{25}

15 9/25

​

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Answer:

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