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salantis [7]
3 years ago
14

If the length of a rectangular yard is represented by w+4 and the width by 2w+5, write a simplified expression in terms of w tha

t represents the total length of fence needed to go around the yard. Show your work step by step.
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

P = 6w + 18

Step-by-step explanation:

A rectangle is a plane shape having a LENGTH and a WIDTH.

Length (l) = w + 4

Width (w) = 2w + 5

To write a simplified equation in terms of w to represent the total length, let's used the idea of a PERIMETER of a RECTANGLE.

Perimeter (P) = 2 ( l + b)

Where l = length= w + 4

Where b = width = 2w + 5

P = 2( w + 4 + 2w + 5)

P = 2( 3w + 9)

P = 6w + 18

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3 0
2 years ago
Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the
siniylev [52]

<u>Solution:</u> 48cm/s^2

<u>Working:</u>

A = s^2

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Hence,

2(6) = 12

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7 0
3 years ago
Pam and Meg each have a picture frame. Pam’s picture frame is a square with an area of 3 square feet. Meg’s picture frame is a c
kondaur [170]

Answer:

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately 0.65 ft

Step-by-step explanation:

Pam's picture frame : Square with area of 3 sq. foot

Meg’s picture frame is a circle with a radius, r of 1 foot.

The circumference of Meg’s picture frame is the perimeter of Pam’s picture frame by approximately feet.

Let's calculate circumference of Meg's picture frame:

Circumference c, = 2πr

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c = 2 * 3.14 *1 = 6.28 ft


Now calculate Perimeter of Pam's picture frame:

A is area of square and s is the side

A = s²

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= 4√3 = 6.93ft

Now in order to find  circumference of Meg’s picture frame is the perimeter of Pam’s picture frame, we have to find their difference.

Permimeter of square frame - Circumference of circle frame = 6.93 - 6.28 = 0.65


8 0
3 years ago
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