0
What are the dimensions of a rectangle when one side is 1.5 cm longer than the other side and its area in numerical terms is the same as its perimeter?
Wiki User
∙ 13y ago
l = w + 1.5
p = 2(l + w) = 4w + 3
a = lw = w2 + 1.5w
w2 + 1.5w = 4w + 3
2w2 + 3w = 8w + 6
2w2 - 5w - 6 = 0
Quadratic formula gives w = 3.38 so l = 4.88, making a = 16.49
P = 2 (3.38 + 4.38) = 16.52. Near enough for Wiki!
Improved Answer:
Let the length be (x+1.5) and the width be x:
length*width = 2(length+width)
(x+1.5)*x = 2(x+1.5+x)
x2+1.5x = 4x+3
x2+1.5x-4x-3 = 0
x2-2.5x-3 = 0
Solving the above quadratic equation gives a positive value of 3.386000936 for x.
Therefore: length = 4.886000936 cm and width = 3.386000936 cm
Check: length*width = 16.54400374 cm2 and 2(length+width) = 16.54400374 cm
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
A rectangle has a perimeter of 72m If the length is 20 m longer than the width find its dimensions?
a rectangle has a perimeter of 72m. If the length is 20 m longer than the width find its dimensions?
The perimeter of a rectangle is 36 and its area is 72 What is the length of the rectangle's longer side?
It is: 12 units in length
A rectangle has a perimeter of 12 inches the length is one inch longer then the width what are the dimensions?
Length = 3.5 inches and Width = 2.5 inches Check: 2(3.5+2.5) = 12 inches
Is a rectangular prism longer than a cube?
it depend on the dimensions of the cube and the rectangle
The perimeter of an equilateral triangle is 45 inches.A rectangle whose width is 1-3 its length has a perimeter of 48 inches.Which figure has the longest side and why?
a rectangle as a longer side because there's 48 inches for a rectangle but there's only 45 inches for a triangle. a rectangle as a longer side because there's 48 inches for a rectangle but there's only 45 inches for a triangle.
A rectangle has a perimeter of 72m If the length is 20 m longer than the width find its dimensions?
a rectangle has a perimeter of 72m. If the length is 20 m longer than the width find its dimensions?
What is the answer to the question one side of a rectangle is thrice longer than its width if the perimeter of the rectangle is 28 cm what are the dimensions of the rectangle?
The dimensions are: length 10.5 cm and width 3.5 cm Check: 2*(10.5+3.5) = 28 cm
The length of a rectangle is 4 cm longer than the width and the perimeter is at least 48 cm What are the smallest possible dimensions for the rectangle?
L + W >= 24, L = W + 4, Possible dimensions 14 and 10 giving an area of 140 sq cm.
The length of a rectangle is 7cm longer than its widthIf the perimeter of the rectangle is 142cm what are the dimensions of the rectangle?
perimeter = 2(length X width) = 2(l x w) = 2(w+7+w) - 2(2w+7)=142 2w+7 = 71; 2w=64; w = 32 and l = w+7 = 39 Check: perimeter = 2(32+37) = 142
The length of a rectangle is 4 centimeters longer than the width If the perimeter of the rectangle is 20 centimeters what is the area of the rectangle?
21cm3
What is the area of a rectangle if the perimeter is 60 cm and the length is 12 cm longer than it is wide?
Perimeter of a rectangle is 2(l+b).Area of rectangle is 216 centimeter square.
The perimeter of a rectangle is 36 and its area is 72 What is the length of the rectangle's longer side?
It is: 12 units in length
A rectangle has a perimeter of 12 inches the length is one inch longer then the width what are the dimensions?
Length = 3.5 inches and Width = 2.5 inches Check: 2(3.5+2.5) = 12 inches
What is the largest and smallest perimeter possible for a rectangle with a area of 100?
The smallest is just over 40 units. At 40 units it is no longer a rectangle but a square. There is no largest perimeter.
A rectangle is 3 times longer than it is wide The perimeter is 44 cm Find the dimensions of the rectangle?
Let x represent width. Using the formula 3x(x)=44cm, the equation is complete when x = 3.82. This means that the rectangle is 3.82 cm wide, and 11.46 cm long.
The length of a rectangle is 5 feet longer than its width The area of the rectangle is 374 square feet What are the dimensions of the rectangle?
17 and 22
Why can't you get on classscape?
i don't know what length of rectangle is 7 cm longer than the width the perimeter of the rectangle is 46 cm .what is the length of the of the rectangle ?
