The length of a rectangle is 3 more than it's width. the perimeter of the rectangle is 58cm. what are the rectangle dimensions?
w and w+3
perimeter = 2 w + 2 (w +3) = 58
4 w + 6 = 58
4 w = 52
w = 13
so 13 by 16
P = 2L + 2W
58 = 2(W + 3) + 2W
Solve for W.
Let's represent the width of the rectangle as "w".
According to the given information, the length of the rectangle is 3 more than its width, so we can represent the length as "w + 3".
The formula for the perimeter of a rectangle is P = 2(length + width).
Substituting the values we have:
58 = 2(w + w + 3)
Now we can simplify the equation:
58 = 2(2w + 3)
58 = 4w + 6
Subtracting 6 from both sides:
52 = 4w
Dividing both sides by 4:
w = 13
So, the width of the rectangle is 13 cm.
To find the length, we substitute the value of the width back into the expression for the length:
length = width + 3 = 13 + 3 = 16 cm.
Therefore, the rectangle dimensions are 13 cm by 16 cm.
To find the dimensions of the rectangle, we need to set up an equation based on the given information. Let's assume that the width of the rectangle is "w" cm.
According to the problem, the length of the rectangle is 3 more than its width. Hence, the length can be represented as "(w + 3)" cm.
The perimeter of a rectangle is given by the formula: P = 2w + 2l, where "P" is the perimeter, "w" is the width, and "l" is the length.
Now we can substitute the values into the formula to get the equation:
58 = 2w + 2(w + 3)
Simplifying this equation will give us the width of the rectangle:
58 = 2w + 2w + 6
58 = 4w + 6
52 = 4w
w = 13
Now that we have the value of the width, we can find the length of the rectangle:
Length = w + 3 = 13 + 3 = 16 cm
Therefore, the dimensions of the rectangle are 13 cm (width) and 16 cm (length).