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Aleksandr [31]
3 years ago
6

A woman plans to use one fourth of a 48 foot x 100 foot rectangular backyard to plant garden. Find the perimeter of the garden i

f the length is 40 feet greater than the width
Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0

Answer: 160ft.

Step-by-step explanation:

First find the area of the 48ft x 100ft rectangular back yard.

Area of a rectangular = L x B

= 48 x 100

= 4800ft²

Now, find 1/4 of the rectangular backyard meant for garden

= 1/4 of 4800

= 1200ft²

Step 2:

To find the perimeter of the garden,first find the length and breath of the garden. From the dimension of the garden, the length is 40ft > width. In interpreting this,

We make the width of the garden to be. B = xft,

Therefore. L = (x + 40)ft

Now equate the product of this to 1200ft

x(x + 40) = 1200

Open the bracket

x² + 40x = 1200

x² + 40x - 1200 = 0

This is now a quadratic expression. Solving for x using any methods

x² + 60x - 20x - 1200 = 0

Solving by grouping

x(x + 60) - 20(x + 60) = 0

Collect common factors here

(x + 60)(x - 20) = 0

Therefore, x = -60 or 20

Remember, x cannot be negative, so x = 20ft. The width = 20ft, and the length = 60ft.

With this, we can determine the perimeter.

Formula for perimeter of a rectangular block

= 2( L + B )

= 2( 60 + 20 )

= 2(80)

= 2 x 80

= 160ft.

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3 years ago
Pls helppppp 25 pt and brainiest for whoever answers it right.
defon
<h3><u>Given</u><u>:</u><u>-</u></h3>

  • Perimeter of parallelogram = 66 ft

  • One side,a = 3x + 1

  • Other side,b = 2x - 3

<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

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★ Putting the value of x

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Other side,b = 2x - 3

★ Putting the value of x

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Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

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Step-by-step explanation:

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Answer:

Note: If this is really sixth grade math, then im a cucumber. It's way easier than MY math, and I'm in 6th grade lol :P

Another Note: Please vote me "Brainliest", I put a lot of work into this :)

1. 40

2. 60

3. 1.35

4. 6

5. Do this yourself, it requires actually explaining and you have to use your own words. :)

6. Do this yourself, it requires actually explaining and you have to use your own words. :)

7. Do this yourself, it requires actually explaining and you have to use your own words. :)

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That's it, please heart my answer and vote me brainliest :)

Step-by-step explanation:

Do you really need this part? I didn't do it because it would take forever LOL

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