Find the width of a rectangle with a perimeter of 90 and a length of 15
A. 90
B. 15
C.45
D. 30
To find the width of the rectangle, we need to use the formula for the perimeter of a rectangle, which is 2(Length + Width).
Given:
Perimeter = 90
Length = 15
Let's substitute these values into the formula and solve for the width.
90 = 2(15 + Width)
Simplify the equation by distributing 2 to both terms inside the parentheses.
90 = 30 + 2Width
Subtract 30 from both sides of the equation.
90 - 30 = 30 - 30 + 2Width
60 = 2Width
Divide both sides of the equation by 2.
60 / 2 = 2Width / 2
30 = Width
The width of the rectangle is 30.
Therefore, the correct answer is D. 30.
To find the width of the rectangle, we need to use the formula for the perimeter of a rectangle:
Perimeter = 2 * (Length + Width)
Given that the length is 15 and the perimeter is 90, we can substitute those values into the formula:
90 = 2 * (15 + Width)
Next, we can simplify the equation:
90 = 30 + 2 * Width
Subtracting 30 from both sides:
60 = 2 * Width
Dividing both sides by 2:
Width = 30
Therefore, the width of the rectangle is 30.
So, the correct answer is D. 30.
To find the width of a rectangle with given perimeter and length, we can use the formula for the perimeter of a rectangle: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
In this case, we have a perimeter of 90 and a length of 15. Plugging these values into the formula, we get:
90 = 2(15) + 2w
To isolate the width, we can first simplify the equation:
90 = 30 + 2w
Next, we can subtract 30 from both sides of the equation:
90 - 30 = 30 - 30 + 2w
60 = 2w
Finally, we can divide both sides of the equation by 2 to solve for w:
60/2 = 2w/2
30 = w
Therefore, the width of the rectangle is 30.
So, the correct answer is D. 30.