The length of rectangular mosaic flag is 710 feet and width is 470 feet
Step-by-step explanation:
Let l be the length of the flag
and
w be the width
Then according to given statement
l = w+240
Perimeter = 2360 feet
The formula for perimeter is given by:

Putting values
![2360 = 2[w+240+w]\\\frac{2360}{2} = \frac{2[w+240+w]}{2}\\1180 = 2w+240\\1180-240 = 2w+240-240\\940 = 2w](https://tex.z-dn.net/?f=2360%20%3D%202%5Bw%2B240%2Bw%5D%5C%5C%5Cfrac%7B2360%7D%7B2%7D%20%3D%20%5Cfrac%7B2%5Bw%2B240%2Bw%5D%7D%7B2%7D%5C%5C1180%20%3D%202w%2B240%5C%5C1180-240%20%3D%202w%2B240-240%5C%5C940%20%3D%202w)
Dividing both sides by 2

The width is 470 feet
Now,

Hence,
The length of rectangular mosaic flag is 710 feet and width is 470 feet
Keywords: Perimeter, dimensions
Learn more about perimeter at:
#LearnwithBrainly
Answer: Length = 13 ft. , Width = 9 ft.
Step-by-step explanation:
Rectangle area = Length x width
Area = 117 ft.
Length = x + 4
Width = x
To solve
(x)(x + 4) = 117
x^2 + 4x = 117
x^2 + 4x - 117 = 0
(x - 9)(x + 13)
x = 9, -13
x = 9 <em>(measurement cannot be negative)</em>
Length
x + 4
9 + 4 = 13
Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
Answer:32p+24
Step-by-step explanation:
-4(-9p + -3) +2(-2p + 6)
36p+12-4p+12
32p+24
Hope it helped you