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If a storm window has an area of 315 square inches what are the dimensions if the window is 6 inches higher than it is wide (w x h)?
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If a storm window has an area of 400 square inches what are the dimensions if the window is 12 inches higher than it is wide?
This answer for each dimension is provided to 4 decimal places only.The height of the window is 26.8806 inches and the width is 14.8806 inches.For, let h equal the height and w the width.Thus in inches:1. h * w = 4002. h - w = 12We can rewrite 2. as h = w + 12Substituting h = w + 12 into 1. gives3. w (w + 12) = 400 thusw2 + 12w = 400w2 + 12w - 400 = 0Substituting the above values into the quadratic formulawhere the roots of aw2 + bw + c = (-b + or - ((b2 - 4ac) 1/2)) / 2a gives:w = (-12 + or - (122 - (4 * 1 * -400)1/2)) / 2 * 1= (-12 + or - (144 - -1600)1/2) / 2= (-12 + or - 17441/2) / 2= 14.8806 (to 4 decimal places only) and -26.8806(to 4 decimal places only)We can clearly discount the negative root. Therefore the width of the window is equal to 14.8806 inches (to 4 decimal places only).Substituting w = 14.8806 into 1. gives14.8806 * h = 400h = 400/14.8806h = 26.8806 (to 4 decimal places)
If a storm window has an area of 315 square inches what are the dimensions if the window is 6 inches higher than it is wide?
A+ x(x-6)=315
Window dimensions to square feet?
Measure the height and width of the window in inches. Next, multiply the height of the window by the width of the window. Then divide that number by 144 to get square feet.
If a storm window has an area of 640 square inches what is the equation to find the dimensions when the window is 20 inches higher than it is wide?
H = W + 20; H x W = 640 ie W x (W + 20) = 640 ie W^2 + 20W - 640 = 0 This does not have a solution in integers, a close approximation is 17.2 x 37.2
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The perimeter of a church window is 80 inches If the window is in the shape of a square what is the length of each side of the window?
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If a storm window has an area of 400 square inches what is the equation to find the dimensions when the window is 12 inches higher than it is wide x represents height?
area = width times height x = height x-12 = width x (x-12) = x^2 - 12X = 400 x^2 - 12X - 400 = 0 solve for x using quadratic formula X = (12 + SQRT(144 + 1600)) divided by 2 x = 26.88 = height width = x -12 = 14.88
