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Andru [333]
4 years ago
12

The length of a rectangle is twice the width. The perimeter is 48in. Find the dimensions of the rectangle.

Mathematics
2 answers:
seropon [69]4 years ago
8 0
Perimeter = p
length = l
width = w

p = 2l + 2w

p = 48
l = 2w
w = ?

now plug those values into the base equation (p = 2l + 2w)

48 = 2(2w) + 2w
then solve for w
48 = 4w + 2w
48 = 6w
w = 8

because l is 2w, find the length using the width value (8)

l = 2w = 2(8) = 16

SO

length = 16 in
width = 8 in
perimeter = 48 in

Nezavi [6.7K]4 years ago
5 0

Answer:

w = 6in

l = 12in

Step-by-step explanation:

To solve this problem we propose 2 equations

2w + 2l = 48in

l = 2w

We replace the value of l = (2w) into the first equation and solve

2w + 2(2w) = 48in

2w + 4w = 48in

6w = 48in

w = 48in/6

w = 8in

we replace the value of w and solve

l = 2(8in)

l = 16in

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25x+30x= 1625
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Put into calculator and you get
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7 0
3 years ago
A car takes 4 hours to reach a destination traveling at a speed of 63 km/h. How long will it take to cover the same distance if
Gre4nikov [31]

Answer:

It will take 4.5hrs to cover the same distance

The constant of variation,k=252

Step by step explanation

Given that,

speed =  \frac{distance}{time}

From the question

Time=4hr

Speed=63km

By substitution we obtain,

63=  \frac{distance}{4}

Cross multiplying we get,

distance=63 \times 4

distance=252km

Now,

speed=56km

Distance Covered=252km

By substitution:

We obtain,

56= \frac{252}{time}

Cross multiply

56\times  time=252

Divide through by 56

time= \frac{252}{56}

time=4.5hrs

From the formula,

speed= \frac{distance}{time}

Which means that, speed and time varies inversely.

speed\propto \frac{1}{time}

Let k be variation constant

This implies that

speed = k \times  \frac{1}{time}

k=speed \times{time}

Taken,

Time=4hrs

speed=56km

k=56\times4

k=252

4 0
3 years ago
If I run 26.2 miles in 1 hour 18 minutes and 27 seconds what is the average speed. Round to the nearest hundredths
gogolik [260]

Answer:

100 miles per 5 hour

Step-by-step explanation:

by the average speed of 20 miles per hour

it takes 5 hour average to cover 100 miles

8 0
3 years ago
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lesantik [10]
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3 years ago
Find the number of permutations of the first 9 letters of the alphabet, taking 4 letters at a time.
Vinil7 [7]

Solution-

First 9 letters of alphabet are- A,B,C,D,E,F,G,H,I

Total number of ways of selection of 4 letters from 9 alphabets = 9C4

=9!÷((4!).(9-4)!) = 9!÷(4!×5!) = (9×8×7×6)÷(24) = 126

The number of ways of arranging these 4 numbers = 4! = 24

∴ Total number of possible permutations = 9C4×4! = 126×24 = 3024

∴ option number 2 is correct.

8 0
4 years ago
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