Call the width of the rectangle x. Call the length of the rectangle x + 2. The area of the rectangle would be the length times the width. We know this is 15 square inches. Set up the equation and solve for x.
(x +2)x = 15
x2 + 2x = 15
x2 + 2x - 15 = 0
Factor the quadratic equation:
(x - 3)(x + 5) = 0
x = 3 or x = -5
Since length can't be negative, discard the answer -5.
If x = 3, then the width is 3 and the length is x + 2 or 5. 5 x 3 = 15 which equals the area.
The dimensions are: length = 15 inches and width = 7 inches Check: 15*7 = 105 square inches
They are: 3 inches and 5 inches respectively
A rectangle with one side that is double the length of the other side can be seen as two squares beside each other, that are half the area of the original rectangle, in this case 18 square inches / 2 = 9 square inches. The side of a square is the square root of the area, in this case the square root of 9 square inches, which is 3 inches. Now think about the rectangle again. What we just counted was the side of a square that made up one half of the rectangle you wanted to calculate the area of. So the shorter side of the rectangle is the same as our square, and the longer side is double the length. So the width of the rectangle is 3 inches, and the length is 2 * 3 inches = 6 inches. Or: Area = length x width (A=lw) Area = 18 (in2) Width = w Length = twice width (2w) 18 = (2w)w 18 = 2w2 9 = w2 3 = w The width is 3 in., the length (2w) is 6 in.
Let the width be (x-3) and the length be x: width*length = area (x-3)*x = 340 square inches x2-3x-340 = 0 Solving the above quadratic equation works out as: x = -17 or x = 20 it must be the latter because dimensions can't be negative. Therefore: length = 20 inches and width = 17 inches Check: 20*17 = 340 square inches
Area=Length*Width A=14 Inches*2 Inches A= 28 square inches or 28 in2
The area of a rectangle is 56.25 square inches. The length of the rectangle is12.5 inches what is the width
if a rectangle is 450 square inches and the length is 24 inches what is the width?
The width is expressed in inches.
Its length is 1+ square root of 66 ft and its width is -1+ square root of 66 ft
2x4
The dimensions are: length = 15 inches and width = 7 inches Check: 15*7 = 105 square inches
Width of the rectangle: 33.6/8 = 4.2 inches
10 inches
They are: 3 inches and 5 inches respectively
7
Area = Length * Width = 12*7 = 84 square inches.
A rectangle with one side that is double the length of the other side can be seen as two squares beside each other, that are half the area of the original rectangle, in this case 18 square inches / 2 = 9 square inches. The side of a square is the square root of the area, in this case the square root of 9 square inches, which is 3 inches. Now think about the rectangle again. What we just counted was the side of a square that made up one half of the rectangle you wanted to calculate the area of. So the shorter side of the rectangle is the same as our square, and the longer side is double the length. So the width of the rectangle is 3 inches, and the length is 2 * 3 inches = 6 inches. Or: Area = length x width (A=lw) Area = 18 (in2) Width = w Length = twice width (2w) 18 = (2w)w 18 = 2w2 9 = w2 3 = w The width is 3 in., the length (2w) is 6 in.