6X squared
-1
Assign the rectangle a width 'x'. From the data in the problem the height is then '2x+1'. Multiplying the two together gives the area of the rectangle, which we know to be 45. In equation for this is: x(2x+1) = 45 or 2x^2 + x = 45. The roots of this equation can then be found either through the quadratic equation or a calculator solver (I used the solver because I'm lazy) and the answers are x = -5 and x= 4.5. The rectangle has a width of 4.5 and a height of 10.
Look at it this way, suppose x is one side of the rectangle and y is the other. Then the area of the rectangle would be xy. Now if you double each side of the originial rectangle you would have each side as 2x and 2y. So the area of the new rectangle would be 2x*2y or 4xy. As you can see the new area is 4 times larger than the original.
A=b*h area = base (times) height P=2b + 2h perimeter = 2 (times) base (plus) 2 ( times) height A= b*h 12 = b*h 12/b = h let x = b h = 12/x since x = b and h = 12/x therefore P = 2x + 2(12/x)
Let the width = X. The length is twice the width plus 5. So the length must be 2X + 5. Area = 63 ft squared = X multiplied by 2X + 5 = 2X squared + 25. 2X squared = 63 - 25 = 38 2X = square root of 38. Therefore the width is the square root of 38 divided by 2 and the length is the square root of 38 plus 5.
-1
Area of triangle is 0.5*b*h where: b = base h = height thus Area is: 0.5*(4x-3)*(2x) = (4x-3)*(x) = 4x2 - 3x
SA= 2x(l+w)+2x(l+h)+2x(h+w) H= Height L= Length W= Width
Assign the rectangle a width 'x'. From the data in the problem the height is then '2x+1'. Multiplying the two together gives the area of the rectangle, which we know to be 45. In equation for this is: x(2x+1) = 45 or 2x^2 + x = 45. The roots of this equation can then be found either through the quadratic equation or a calculator solver (I used the solver because I'm lazy) and the answers are x = -5 and x= 4.5. The rectangle has a width of 4.5 and a height of 10.
a rectangle has a length of 2x-5 units and a width of x-3 units. what is the area, in square units, of the rectangle?
8x2 is.
Presumably the question is about finding the height and base of a rectangle? If so then let the height be 2x-1 and the base be x: (2x-1)*x = 22.5 2x2-1x = 22.5 2x2-x-22.5 = 0 Solving the equation by using the quadratic equation formula will result in: x = -3.113406012 or x = 3.613406012 the dimensions can't be negative so the latter is the solution. Therfore: length = 6.226812024 inches and the base = 3.613406012 inches
i think basexheight and then divide 2
You expand x(x+2) which is x2+2x.
First find the dimensions of the rectangle. Let its length be 2x and its width be x: 2(2x+x) = 60 4x+2x = 60 6x = 60 x = 10 Therefore: length = 20cm and the width = 10cm Area = length*width Area = 200cm2
You probably know that the area of any triangle is (1/2) x (base) x (height).Take that formula, substitute (2x+3) in the place where it says "base", andsubstitute (3x-1) in the place where it says "height". Then do the multiplication,and you'll have a tidy expression for the area of your triangle.Of course, it'll still have an "x" in it, as well as an "x2", but you should expect that.If the base and the height both depend on the value of 'x', then naturally the areamust also depend on the value of 'x'.
rectangle with 10" length and 2x-4 width 60" area