What is the length of a rectangle with width 14 in. and area 105 in.^2?
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To find the length of the rectangle, we can use the formula for the area of a rectangle: length multiplied by width. In this case, we know that the width is 14 inches and the area is 105 square inches.
Let's denote the length of the rectangle as L. We can set up the following equation:
L * 14 = 105
To solve for L, we divide both sides of the equation by 14:
L = 105 / 14
Simplifying the right side:
L = 7.5
Therefore, the length of the rectangle is 7.5 inches.
A rectangle has perimeter 74 cm and length 28 cm. What is its width?
To find the width of the rectangle, we can use the formula for the perimeter of a rectangle: 2 * (length + width). In this case, we know that the perimeter is 74 cm and the length is 28 cm.
Let's denote the width of the rectangle as W. We can set up the following equation:
2 * (28 + W) = 74
To solve for W, we first simplify the left side of the equation:
56 + 2W = 74
Next, we isolate W by subtracting 56 from both sides:
2W = 74 - 56
2W = 18
Finally, we divide both sides of the equation by 2 to solve for W:
W = 18 / 2
W= 9
Therefore, the width of the rectangle is 9 cm.
To find the length of a rectangle, you can use the formula for the area of a rectangle:
Area = length x width
Given that the width is 14 in. and the area is 105 in^2, we can solve for the length.
105 = length x 14
To isolate the length, divide both sides of the equation by 14:
105 / 14 = length
The length of the rectangle is approximately 7.5 inches.
To find the length of a rectangle given its width and area, you can use the formula: length = area/width.
In this case, the width is given as 14 in. and the area is given as 105 in².
Applying the formula, we divide the area (105 in²) by the width (14 in):
length = 105 in² / 14 in
Calculating the division, we have:
length = 7.5 in
Therefore, the length of the rectangle is 7.5 inches.