The width of a rectangle is one-third the length.....?

Question

The width of a rectangle is one-third the length. The area of the rectangle is five hundred eighty-eight square feet. What is the perimeter of the rectangle

Answer 1

let length = 3x, width will be x.

area=588

3x(x)=588

x^2=196

x=14 feet

length=14(3)=42 feet

width=14 ft.

perimeter=2 length+2 width=2(42)+2(14)=112 feet.

Answer 2

length = L

width = 1/3 L

area = 588 = L * W = L * 1/3 L = 1/3 L^2

1/3 L^2 = 588

L^2 = 3*588 = 1764

L =42

perimeter = 2*L + 2*W = 2*L + 2 * 1/3 L = 8/3 L = 112

Answer 3

first find the length and breadth

the formula for area of rectangle is

length(l) X breadth(b) = area

here, breadth(b) will be 1/3x l

so the equation will be

l x 1/3l = 588

l^2/3 = 588

l^2 = 588 x 3

l^2= 1764

l = √1764

l = 42 ft.

length of rectangle is 42 ft.

so, breadth will be 1/3 x 42 = 14 ft.

now, the perimeter formula can be applied. the formula is

perimeter = 2(l+b)

so, perimeter = 2 x(42+14)

                   = 2 x 56

                    = 112 ft.

Answer 4

you need to use basic algebra to solve this.

if the width is 1/3 of the length we can relate width to length with the equation

3w = l   (where w is width and l is length)

we are told the area - the equation for are as width x length

so we get the equation wl = 588

now just substitute l and w from both equations to find w and l

perimeter is 2l + 2w

Answer 5

Length of the rectangle (x):

588/x = 1/3x

1/3x² = 588

x² = 1,764

x = 42

Perimeter:

= 2(42 + 1/3[42])

= 2(42 + 14)

= 2(56)

= 112

Answer: 112 feet is the perimeter.

Answer 6

first you have to find the length and width of the rectangle...

W=1/3L

so if A=LW

588=L(1/3L)

put the numbers on one side and variables on the other...

so 588 over 1/3= L²

1764= L²

find the square root of 1764 and it's 42

so length is 42ft

W=1/3L

W=1/3 (42)

W= 14

so now you know the length and width you can now find the perimeter...

P= 2L+2W

P= 2(42)+2(14)

P= 112 feet

Answer 7

W = L / 3

A= 588 ft^2

A = L * W = L* (L/3) = (4/3) * L

588 = 4/3 * L

L=41.25 ft

W = L /3 = 41.25 / 3 = 13.75

P = 2L + 2W = 2(41.25) + 2(13.75) = 82.5 + 27.5 = 110 ft

ANSWER IS 110 ft