the width equals 14 cm. and the length equals 31 cm.
Let the width be 1/2x+2 and the length be x: 2(width+length) = perimeter 2(1/2x+2+x) = 97m x+4+2x = 97 x+2x = 97-4 3x = 93 x = 31 Therefore: length = 31m and width = 17.5m Check: 31+31+17.5+17.5 = 97m
W = width of rectangle L = length of rectangle A = area of rectangle W x L = A (L+11) x L = A L squared + 11 L - 1302 = 0 solve for L by quadratic equation or by factoring: (L-31)(L +42) = 0 L = 31 W = L+11 = 42
Perimeter = 2 x (length + width), area = Length x width. Perimeter is not directly related to area except in the cases of circles and squares. Consider a rectangle of 60 sq cm: the integer possibilities for length and width are numerous: 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10. The respective perimeters are 122 cm, 100 cm, 46 cm, 38 cm, 34 cm and 32 cm. Note that the nearer the shape becomes to a square, the smaller the perimeter. (A square would have a perimeter of a whisker under 31 cm.)
Let the length be x+8 and the width be x: 2(x+8)+2x = 140 2x+16+2x = 140 4x+16 = 140 4x = 140-16 4x = 124 x = 31 Therefore: length = 31+8 = 39 meters
the width equals 14 cm. and the length equals 31 cm.
The area of a rectangle of length 12.3 and width 31 is 12.3 X 31 = 381.3, the perimeter of the same rectangle is 2(12.3+31) = 86.6.
Let's call the length L and the width W. The width is 5 less than half of the length, so W = (1/2)L - 5. The length is 31, so W = (1/2)(31)-5, which is 10.5. So the length is 31 cm and the width is 10.5 cm. The perimeter is 2 lengths and 2 widths, so the perimeter equals 2L + 2W. In this case, it is 2(31) + 2(10.5) which is 83 cm.
Let the width be 1/2x+2 and the length be x: 2(width+length) = perimeter 2(1/2x+2+x) = 97m x+4+2x = 97 x+2x = 97-4 3x = 93 x = 31 Therefore: length = 31m and width = 17.5m Check: 31+31+17.5+17.5 = 97m
Algebra works great here. Let's use three variables: P for perimeter, L for length and W for width. Then we can rewrite the above in terms of math:W = (1/2)(L - 6)
W = width of rectangle L = length of rectangle A = area of rectangle W x L = A (L+11) x L = A L squared + 11 L - 1302 = 0 solve for L by quadratic equation or by factoring: (L-31)(L +42) = 0 L = 31 W = L+11 = 42
If the length is 15.5 feet then the combined length of the two long sides is 31 feet, this leaves 9 feet, which divided between the two shorter sides means each must be 4.5 feet long or 4 feet 6 inches long if you prefer.
Perimeter is a length, and a length cannot be the same as an area.Ignoring the units, all rectangles that have the same numerical perimeter as area are those that satisfy:2 x (length + width) = length x widthwhich can be rearranged to give:width = 2 x length/(length - 2)Meaning that given any length over 2, a width can be found to give a rectangle that meets the requirement that its numerical perimeter is the same as its numerical area. (For a length greater than 0 and less than 2, the width would be negative and not possible; similarly for a length less than 0, the length is negative and not possible. When the length is 2, the width is undefined and so not possible. When the length is 0 the width is 0 and it is not a rectangle.)At some stage as the length increases, the length will equal the width and as the length continues to increase the rectangle then given will match the previous rectangles with the length and widths swapped. This occurs when:length = 2 x length/(length - 2)⇒ length x (length - 4) = 0⇒ length = 4.So, as long as the length is greater than or equal 4 it will be the longer side - the length, by convention, is the longer side. Thus all rectangles satisfy:width = 2 x length/(length - 2)with length ≥ 4, will have the numerical value of their perimeter the same as the numerical value of their area.For example:4 cm x 4 cm: perimeter = 16 cm, area = 16 cm25 cm x 31/3 cm: perimeter = 162/3 cm, area = 162/3 cm26 cm x 3 cm: perimeter = 18 cm, area = 18 cm241/2 cm x 33/5 cm: perimeter = 161/5 cm, area = 161/5 cm2etcNote: the first example is a square which is a rectangle with all the sides the same length.
It is: 21+31+21+31 = 104 inches
We don't know. The perimeter doesn't uniquely define the dimensions. It could be: 1 x 35 2 x 34 3 x 33 4 x 32 5 x 31 10 x 26 15 x 21 15.39 x 20.61 . . etc. All of these rectangles have a perimeter of 72.
Perimeter is 56+31+56+31 = 174 feet of fence.
Perimeter = 2 x (length + width), area = Length x width. Perimeter is not directly related to area except in the cases of circles and squares. Consider a rectangle of 60 sq cm: the integer possibilities for length and width are numerous: 1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12 and 6 x 10. The respective perimeters are 122 cm, 100 cm, 46 cm, 38 cm, 34 cm and 32 cm. Note that the nearer the shape becomes to a square, the smaller the perimeter. (A square would have a perimeter of a whisker under 31 cm.)