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Interesting one!
If a rectangle has width w and height h,
1) the area a = wh
2) the perimeter p = 2w + 2h
From 1), w=a/h
Substituting into 2)
p = 2a/h + 2h
Multiplying by h
pH = 2a + 2h2
Rearranging
2h2 - pH + 2a = 0 This is a quadratic equation in h.
Factorising, using the standard quadratic formula,
h = (p ± sqrt(p2 - 16a))/4
The two solutions to this will be the two dimensions.
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What is the perimeter of the rectangle with a length of 8 inches is 48 square inches?
You must first calculate the width, using the formula for the area of a rectangle (plug in the numbers you know into the formula, and solve for width). Once you know this, you can plug in the numbers in the formula for a rectangle's perimeter.
What are the dimensions of a rectangle that has a perimeter of 19.8 cm and an area of 24.3 square cm showing work?
Divide the perimeter by 2 then find two numbers that have a sum of 9.9 and a product of 24.3 which will work out as 5.4 and 4.5 by using the quadratic equation formula. Check: 2*(5.4+4.5) = 19.8 cm which is the perimeter Check: 5.4*4.5 = 24.3 square cm which is the area Therefore the dimensions of the rectangle are: 5.4 cm and 4.5 cm
How do you find the perimeter of a rectangle using subtraction?
i dont no if you can find the perimeter of a triagle by using subtration the formula is adding all the up together.
What are the dimensions of a rectangle that has a perimeter of 29 cm and an area of 50.3125 square cm?
Let the dimensions be x and y:- If: 2x+2y = 29 then y =14.5-x If: xy = 50.3125 then x(14.5-x) = 50.3125 Expanding brackets and transposing terms: 14.5x -x^2 -50.3125 = 0 Using the quadratic equation formula: x = 8.75 or x = 5.75 Therefore dimensions of the rectangle are: length = 8.75 cm and width = 5.75 cm Check: 2(8.75+5.75) = 29 cm Check: 8.75*5.75 = 50.3125 square cm
How do you find the area of a rectangle using perimeter and width?
Perimeter minus two times the width will give you the two times the length. Area is found by multiplying the length by the width.
What shape has an area of 12 and a perimeter of 16?
The shape that has an area of 12 and a perimeter of 16 is a rectangle. To find the dimensions of the rectangle, you can set up equations using the formulas for area and perimeter. Let the length of the rectangle be L and the width be W. The equations would be: 2L + 2W = 16 (perimeter) and LW = 12 (area). Solving these equations simultaneously will give you the dimensions of the rectangle.
What is the perimeter of the rectangle with a length of 8 inches is 48 square inches?
You must first calculate the width, using the formula for the area of a rectangle (plug in the numbers you know into the formula, and solve for width). Once you know this, you can plug in the numbers in the formula for a rectangle's perimeter.
Draw a flowchart that will compute and display the Area of a rectangle using the formula: Area = Length Width?
The formula for the perimeter of a rectangle is: p = 2(l + w) In other words, just add all four sides. You can't calculate the perimeter of the rectangle if you know only the length.
What are the dimensions of a rectangle that has a perimeter of 19.8 cm and an area of 24.3 square cm showing work?
Divide the perimeter by 2 then find two numbers that have a sum of 9.9 and a product of 24.3 which will work out as 5.4 and 4.5 by using the quadratic equation formula. Check: 2*(5.4+4.5) = 19.8 cm which is the perimeter Check: 5.4*4.5 = 24.3 square cm which is the area Therefore the dimensions of the rectangle are: 5.4 cm and 4.5 cm
How do you get the dimensions of rectangular lot given the perimeter and area?
By halving its perimeter and using the quadratic equation formula.
How do you find the perimeter of a rectangle using subtraction?
i dont no if you can find the perimeter of a triagle by using subtration the formula is adding all the up together.
When the dimensions of a 2Cm X 5Cm rectangle were increased by equal amounts the area was increased by 18cm find the dimensions of the new rectangle using factoring?
The new dimensions are 4cm and 7cm
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.
How do you find breadth using perimeter and length?
If the shape is a rectangle (or square), then Perimeter = 2*(Length + Breadth) So Breadth = Perimeter/2 - Length
Can you use the formula for the perimeter of a rectangle to find the perimeter of any squere?
Yes. But using P=4s is easier with a square.
Can the perimeter of a rectangle can be found using the formula P 4s.?
Not really. All 4 sides of a rectangle are not the same (unless it is a square)
The base of a rectangle is 4 more than the height the area of the rectangle is 15 square inches what are the dimensions of the rectangle?
4,3Improved Answer:-The dimensions work out as: 2.358898944 and 6.358898944 inches using the quadratic equation formula
