the length of a rectangle is four times the width. if the perimeter of the rectangle is 40ft, find the width?

Question

a) 4ft, b) 32ft,c)9ft, d)8ft?

and also an angle x measure 39 degrees more than angle y. translate into symbols.

so for the angle ? is it

Answer 1

1st Q: A - 4 ft

2nd Q: x = y + 39

Answer 2

The answer is 4 feet (for the first question). You can figure it out like this (note that l = length and w = width):

length = 4 times the width
l = 4w
l - 4w = 0

perimeter (which is 2 times the length and width combined) = 40
2(l + w) = 40
2l + 2w = 40

Take the bottom equations from these two scenarios, then to figure out the width, do this:

2(l - 4w) = 2(0)
2l - 8w = 0

Then, subtract the second scenario from the first:

(2l - 8w = 0) - (2l + 2w = 40) = (-10w = -40) = (w = 4)

Therefore, w = 4! Wow, maybe I can make some decent money being a tutor?

Answer 3

Perimeter Formula

P = 2L + 2W

- - - - - - - - - - - - - - - - - -

let

W = Width

4W = Length

40 = perimeter

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

P = 2L + 2W

40 = 2(4W) + 2W

40 = 8W + 2W

40 = 10W

40/10 = 10W/10

4 = W

The answer is W = 4

The solution set is { 4 }

Insert the W value into the equation

- -- - - - - - - - - - - - - - - - - - - - - - - - -

Check

P = 2L + 2W

40 = 2[4(4)] + 2(4)

40 = 2[16] + 8

40 = 32 + 8

40 = 40

- - - - - - - - - - - - - - - - - - - - - - - - - - -

y = x + 39

Answer 4

length of the rectangle (x): 2(x + a million/4x) = one hundred thirty five x + a million/4x = one hundred thirty five/2 4x + x = 270 5x = 270 x = fifty 4 Width of the rectangle: = fifty 4/4 or 27/2 = 13 a million/2 answer: length, fifty 4 meters; width, 13 a million/2 or 13.5 meters evidence (perimeter is one hundred thirty five meters): = 2(fifty 4 meters) + 2(13.5 meters) = 108 meters + 27 meters = one hundred thirty five meters

Answer 5

L = 4*W (what you were given). P = 2*L + 2*W (formula for perimeter); take L from the first, put it in the second, solve for W.

x = y + 39

Answer 6

HI I M ROHIT FROM INDIA
let width is =x
length=4x
peremeter=x*4x=40ft
x*x=40/4
x*x=10
x=sq root of 10

Answer 7

L-->length
W-->width
P--> perimeter

L= 4w
P= 40ft

2L+2W=P

2 (4W) + 2W= 40 ft.
8W + 2W= 40 ft.
10W=40 ft.

W= 4 ft.

the answer is a.
--------

Angle x measure 39 degrees more than angle y. translate into symbols.

x= y + 39

Answer 8

x and 4x

10 x = perimeter = 40 ft (each side twice)

x=4

x = y + 39

Answer 9

l=4w
p=2l+2w=2(4w)+2w=8w+2w=10w
40=10w
w=4 answer is a) 4ft
check
l=4w=4*4=16
p=2l+2w=2*16+2*4=32+8=40

x=y+39

Answer 10

4ft.
(x=39+y)degrees