The length of the rectangle is 1/4th the width of the rectangle. The perimeter is 35 ft. How long is the length and width?

2 answers:

7 0

Perimeter= 2l + 2w
Perimeter= 35ft
l= 1/4w

Substitute values above for l and w

35= 2(1/4w) + 2w
35= (2*1)/4w + 2w
35= 2/4w + 2w
35= 1/2w + 2w
35= 2 1/2w
convert to improper fraction
35= 5/2w
divide both sides by 5/2
35 ÷ 5/2= w
multiply by reciprocal of 5/2
35 * 2/5= w
(35*2)/5= w
70/5= w
14= w

Substitute 14=w to find l

l= 1/4w
l= 1/4(14)
l= (1*14)/4
l= 14/4
reduce/simplify by 2
l= 7/2 or 3 1/2

CHECK:
35= 2l + 2w
35= 2(7/2) + 2(14)
35= 7 + 28
35= 35

ANSWER: l= 7/2 or 3 1/2; w= 14

Hope this helps! :)

Monica [59]3 years ago

6 0

---- x ----
| | 0.25x
---- x ----

x + x + 0.25x + 0.25x = 35
2.5x = 35
x = 35/2.5
x = 14
width is 14

length is 1/4 this.
length = 7/2

You might be interested in

15 pts Please help?!

ra1l [238]

Answer:its B or A

Step-by-step explanation:i guess so

plz mark me as brillienrt or atleast say thanks.

5 0

3 years ago

HELP PLEASE

tiny-mole [99]

Answer:

The answer would be B.) 5x - 3y = 30

8 0

2 years ago

Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0

1 year ago

Write down letters of the circled points and order them by least to greasiest. You will spell a word that describes y way to com

Kaylis [27]

One way to compare quantities is with fractional numbers that represent quantities using divided numbers.

<h3>What is a fraction?</h3>

Fractional number is a mathematical concept that refers to a quantity divided by another quantity. Common fractions are made up of: numerator, denominator and dividing line between them (horizontal or oblique bar).