All categories

1 year ago

The length of a rectangle is 6 less than twice the width. If the perimeter is 60 inches, find the length and width.

Mathematics

1 answer:

pishuonlain [190]1 year ago

4 0

Answer:

w = 12

l = 18

Step-by-step explanation:

Hello!

Recall the perimeter of a rectangle is <u>twice the sum of the length and the width of the rectangle.</u>

$P = 2(l + w)$

Let w be the width. The length is 6 less than twice the width. That means, l is 2w - 6.

Plug it into the formula and solve, given that P is 60.

<h3>Solve for w</h3>

$P = 2(l + w)$
$60 = 2(2w - 6 + w)$
$60 = 2(3w - 6)$
$60 = 6w - 12$
$72 = 6w$
$w = 12$

The width is 12 inches. We can plug in 12 for 2w - 6 to find the length.

<h3>Solve for l</h3>

$l = 2w - 6$
$l = 2(12) - 6$
$l = 24 - 6$
$l = 18$

The length is 18 inches.

The width is 12 inches, and the length is 18 inches.

You might be interested in

Pls help ;-; Student #3:

Setler79 [48]

Solved the inequality correctly and graphed their solution correctly.

8 0

2 years ago

Read 2 more answers

A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?

creativ13 [48]

Answer:

(a) $a_n=1+\frac{1}{6}(n-1)$

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(a).

Explicit formula for an arithmetic sequence is given as:

$a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}$

Here, $a_1=1,a_7=2$

So,

$a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}$

Therefore, the explicit definition of the above sequence is given as:

$a_n=1+\frac{1}{6}(n-1)$

Where, $a_n$ is the miles covered on $n^{th}$ day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

$a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi$

Therefore, the number of miles covered by her on day 19 is 4 miles.

3 0

2 years ago

Of the 240 sandwiches Joanna makes 20% are tuna sandwiches and 40% are jam sandwiches, and the rest are egg salad sandwiches.How

nikitadnepr [17]

240 = 100%
so 10% = 24 sandwiches
all - (tuna) - (jam) = egg
100% - 20% - 40% = 40%
40% = 10%*4
40% = 24*4 = 96

the answer is 96 egg salad sandwiches

4 0

2 years ago

What times what is 216

ElenaW [278]

2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216

7 0

2 years ago

HELP ILL GIVE YOU BRAINLIEST ‼️‼️‼️‼️

Sladkaya [172]

Answer:

36 200 a-c = 36 for 200 and that is how it's done

5 0

2 years ago