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Let's assume that the rectangle has length 'l' and width 'w'.
The formula for the area of a rectangle is A = l × w, and the formula for the perimeter (P) of a rectangle is P = 2(l + w).
We're given that the area of the rectangle is 6cm², so:
A = l × w = 6cm²
We're also given that the perimeter of the rectangle is 14cm, so:
P = 2(l + w) = 14cm
We can use the second equation to solve for one of the variables in terms of the other:
l + w = 7
l = 7 - w
Substituting this into the equation for the area, we get:
(7 - w) × w = 6
Expanding the left side of the equation, we get:
7w - w² = 6
Rearranging and factoring, we get:
w² - 7w + 6 = 0
This equation can be factored as:
(w - 1)(w - 6) = 0
So, w = 1 or w = 6.
If w = 1, then l = 7 - w = 6, and the perimeter would be:
P = 2(l + w) = 2(6 + 1) = 14
If w = 6, then l = 7 - w = 1, and the perimeter would still be:
P = 2(l + w) = 2(1 + 6) = 14
Therefore, there are two possible solutions: a rectangle with dimensions 1cm × 6cm, and a rectangle with dimensions 6cm × 1cm.
What else can I help you with?
If two rectangles have the same perimetre they must have the same area?
No, two rectangles with the same perimeter do not necessarily have the same area. The area of a rectangle is calculated as length multiplied by width, while the perimeter is the sum of all sides. For example, a rectangle with dimensions 2x5 (perimeter 14) has an area of 10, while a rectangle with dimensions 3x4 (also perimeter 14) has an area of 12. Thus, rectangles can have the same perimeter but different areas.
What is the area of a rectangle with sides 23 feet and 14 feet?
The area of rectangle is : 322.0
What is the area 14 by 7 rectangle?
98
What is a rectangle with sides of 3 cm and 14 cm?
Area of rectangle: 3 times 14 = 42 square cmPerimeter of rectangle: 3+14+3+14 = 34 cm
What is the area of of a rectangle 4m x 3.5m?
The area of a rectangle is found by multiplying its length by its width, so the area of a rectangle that measures 4m x 3.5m is 14 square meters.
What is the area of the rectangle with length 14 yd and width 11 yd?
To find the area of a rectangle, you multiply its length by its width. In this case, the length is 14 yards and the width is 11 yards. Therefore, the area of the rectangle is 14 yards * 11 yards = 154 square yards.
The perimeter of a rectangle is 18 ft and the area of the rectangle is 14 square ft what is the width of the rectangle?
2 ft
What is the area of a rectangle with a perimeter of 14?
Without further information it is impossible to say (exactly): If the rectangle was 0.5 x 6.5, its perimeter is 14 units and its area is 3.25 units2 If the rectangle was 1 x 6, its perimeter is 14 units and its area is 6 units2 If the rectangle was 2 x 5, its perimeter is 14 units and its area is 10 units2 If the rectangle was 3 x 4, its perimeter is 14 units and its area is 12 units2 If the rectangle was 3.5 x 3.5, its perimeter is 14 units and its area is 12.25 units2 (and it's a square). It all depends upon the lengths of the longer and shorter sides of the rectangle: as long as 2 x longer + 2 x shorter = 14, any area greater than 0 units2 and less than or equal to 12.25 units2 can be made.
What are the dimensions of a rectangle with an area of 196 square units?
As is, many answers are possible. If the rectangle is a square, the dimensions are 14 x 14.
What is the perimeter of a rectangle with 14 centimeters and width 9 centimeters?
Perimeter is the length of a closed line around an area. A rectangle is an area. If each long side of the rectangle is 12 cm and each end of the rectangle is 9 cm, the total length is 14+14+9+9 or 46 cm.
If a rectangle is 8 feet by 14 feet what is the area?
Area = Length * Width Area = 8 * 14 = 112 square feet =============
What is the area of a rectangle 7ft by 2ft?
To find the area of a rectangle, you multiply its length by its width. In this case, the length is 7 feet and the width is 2 feet. Therefore, the area of the rectangle is 7 feet x 2 feet = 14 square feet.
