To determine how many W-inch sections you can get from a 9-foot piece of plywood, first convert the length of the plywood into inches. Since 9 feet equals 108 inches, you would divide 108 inches by W inches. The formula would be: Number of sections = 108 / W. The result will give you the total number of W-inch sections you can cut from the 9-foot plywood.
Let the width be ( w ) inches and the height be ( h = w + 6 ) inches. The area of the storm window can be expressed as ( w \times h = 315 ) square inches. Substituting for ( h ), we have ( w(w + 6) = 315 ). Solving this gives the width ( w \approx 15 ) inches and height ( h \approx 21 ) inches.
Let the width of the window be ( w ) inches and the height be ( h = w + 12 ) inches. The area of the window can be expressed as ( w \times h = 448 ) square inches. Substituting ( h ) gives the equation ( w(w + 12) = 448 ). Solving this quadratic equation, we find the dimensions to be ( w = 16 ) inches and ( h = 28 ) inches.
Let the width be ( w ) inches. Then the length is ( w + 3 ) inches. The perimeter of a rectangle is given by the formula ( P = 2(l + w) ). Setting up the equation, we have ( 2(w + 3 + w) = 162 ), which simplifies to ( 4w + 6 = 162 ). Solving for ( w ), we find ( w = 39 ) inches, and thus the length is ( 42 ) inches. Therefore, the dimensions of the sign are 39 inches in width and 42 inches in length.
The answer depends on what sort of triangle: right angled, equilateral, isosceles or scalene.
To determine how many W-inch sections you can get from a 9-foot piece of plywood, first convert the length of the plywood into inches. Since 9 feet equals 108 inches, you would divide 108 inches by W inches. The formula would be: Number of sections = 108 / W. The result will give you the total number of W-inch sections you can cut from the 9-foot plywood.
(6 + w) = length w = width (6 + w)(w) = 40 square inches w squared + 6w = 40 w = 4 inches and the length must be equal to 10 inches
Let the width be ( w ) inches and the height be ( h = w + 6 ) inches. The area of the storm window can be expressed as ( w \times h = 315 ) square inches. Substituting for ( h ), we have ( w(w + 6) = 315 ). Solving this gives the width ( w \approx 15 ) inches and height ( h \approx 21 ) inches.
P = 2(L + W) = 236 L + W = 118 W + 64 + W = 118 (since L = W + 64) 2W = 54 W = 27 inches and then L = W + 64 = 91 inches
Let the width of the window be ( w ) inches and the height be ( h = w + 12 ) inches. The area of the window can be expressed as ( w \times h = 448 ) square inches. Substituting ( h ) gives the equation ( w(w + 12) = 448 ). Solving this quadratic equation, we find the dimensions to be ( w = 16 ) inches and ( h = 28 ) inches.
32 = L + W + L + W 32 = 10 + W + 10 + W 12 = W + W 6 = W
Let the width be ( w ) inches. Then the length is ( w + 3 ) inches. The perimeter of a rectangle is given by the formula ( P = 2(l + w) ). Setting up the equation, we have ( 2(w + 3 + w) = 162 ), which simplifies to ( 4w + 6 = 162 ). Solving for ( w ), we find ( w = 39 ) inches, and thus the length is ( 42 ) inches. Therefore, the dimensions of the sign are 39 inches in width and 42 inches in length.
The answer depends on what sort of triangle: right angled, equilateral, isosceles or scalene.
There are infinitely many options. Let L ≥ 28.2843 [= sqrt(800] inches. and let W = 800/L inches. Then L=W = L * (800/L) = 800 sq inches. Since L can have by 28.2843 in or ANY larger value, there are infinitely many possibilities. And each one of them gives a valid solution.
Let the width of the storm window be ( w ) inches. Then the height would be ( w + 12 ) inches. The area of the window can be expressed as ( w(w + 12) = 448 ). Solving the equation ( w^2 + 12w - 448 = 0 ) gives ( w = 16 ) inches (width) and ( h = 28 ) inches (height), so the dimensions of the window are 16 inches wide and 28 inches high.
To determine the volume in cubic inches, you multiply the height (H), length (L), and width (W) together using the formula: Volume = H × L × W. The resulting product gives you the volume in cubic inches. Make sure that all dimensions are measured in inches before performing the calculation.
Suppose width = W inches. Then length, L = W + 2.5 inches. Area = L*W = (W + 2.5)*W which is 37.5 sq inches. Therefore W2 + 2.5W - 37.5 = 0 Multiplying by 2, to get rid of the fraction, 2W2 + 5W - 75 = 0 (2W +15)(W - 5) = 0 So W = -73.5 or W = 5 Since W is a length, it cannot be negative, so W = 5 inches Then L = W + 2.5 = 7.5 inches Therefore, the perimeter is 2*(L+W) = 2*(7.5 + 5) = 2*12.5 = 25 inches.