The width of a rectangle is one-fourth the length. The perimeter of the rectangle is one hundred thirty feet.?

Question

A-52 feet
B-13 feet
C-26 feet

Answer 1

Perimeter formula

P = 2L + 2W

130 = 2L + 2(1/4L)

130 = 2L + 2/4L

130 = 2L + 1/2L

130 = 2 1/2L

130 -= 2.5L

130 / 2.5 = 2.5L / 2.5

52 = L

The answer is L - 52 feet

Since the width is 1/4 the length . the Width is 13 feet

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Answer 2

What is being asked in your problem..?
is it the width or the length?

Perimeter = 2 ( length + width )
130 ft = 2 ( length + 1/4 length )
130 = 2 ( 4/4 length + 1/4 length)
130 = 2 ( 5 / 4 length)
130 = 10 length / 4
4 (130) = 10 length
520 / 10 = length
or
length = 52 feet and so
width = 1/ 4 of 52 or 13 feet

so, is it the length or the width ?

Answer 3

.

Let the length of the rectangle be a
and the width of the rectangle be b

The width of the rectangle is one-fourth the length,
b = a/4
a = 4b

The perimeter of the rectangle is one hundred thirty feet,

Perimeter = 2 (a + b)
130 = 2 (4b + b)
130 = 2 (5b)
130 = 10 (b)
b = 13 feet

Since a = 4b
a = 4*13
a = 52 feet

Therefore, the length of the rectangle is 52 feet and the width of the rectangle is 13 feet.

.

Answer 4

If the length is 53 feet and the width is 13 feet then the width is one-fourth the length. In that case the perimeter is

2 x 52 + 2 x 13 = 130 feet.

Answer 5

You need to form an equation and then solve it.

Let x be length of the rectangle.
The width of rectangle is x/4.
So perimeter is x + x/4 + x + x/4 = 2and1/2 x

So 2 1/2 x = 130

Divide 130 by 2 1/2 to get x.

x is therefore 52 feet. This was the length.
So the width is a quarter or this, ie 13 feet.

Answer 6

Let length be=x
Therefore,breadth=4/x
perimeter=130 feet

Now,
2(x+x/4)=130
2x+x/2=130
5x/2=130
5x=130*2
x=130*2/5
x=52

So, lenght=52 feet
breadth=52/4=13 feet

Answer 7

2W+2L=130 W=1/4L
2(1/4L)+2L=130
1/2L+2L=130
5/2L=130
L=130*2/5=52

so W=52/4=13

L=52, W=13

Answer 8

Width = x
Length = x times 4 = 4x

Givens:
(x + 4x) = 130
10x = 130
Dividing both sides by 10
x = 13 feet

Width = 13 feet
Ans: B

Answer 9

The perimeter of a rectangle is the sum of twice the width and twice the length:

2w+2L=130

The second relation given in this problem is:

w=(0.25)L

Using substitution:

2(0.25)L+2L=130
2.5L=130
L=52

w=L/4
w=13

The answer is either A or B, depending on what the question was asking for.

Answer 10

w = 1/4 L

2(w + L) = 130 ft
2(1/4 L + L) = 130 ft
L = 52 ft
w=13ft