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Sergeu [11.5K]
3 years ago
12

How to solve question question 9. e) ? Including steps are appreciated!

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0
What is the question
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A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence
REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}

For second square:

Let y be the side of second square

A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}

Perimeter of First Square:

P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet

Perimeter of Second Square:

P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

6 0
3 years ago
HELP ASAP:<br><br> https://auro.reeee.ee/uD3ocP
Simora [160]
I swear i just saw this on discord
8 0
2 years ago
Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?​
mr Goodwill [35]

Answer:

70

Step-by-step explanation:

2 + 10 = 12

84 ÷ 12 = 7

7 x 10 = 70

She graded 70 maths papers and 14 science papers.

5 0
3 years ago
In fraction form, what is 3/5÷1/3?<br><br>Thank you if answered
sineoko [7]
9/5 is in fraction form
6 0
3 years ago
Read 2 more answers
Answer now please ‍♀️
Shtirlitz [24]

Answer:

8/15

Step-by-step explanation:

In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B

tanB = 16/30 = 8/15

3 0
3 years ago
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