The width of a rectangle is 3
4
the length. The perimeter is
252 cm. What is the width of the rectangle?
A) 36 cm
B) 48 cm
C) 54 cm
D) 72 cm
Can someone help me please?
the answer is 54
126/7 simplified is 18.
18 x 3 is 54
2 * width + 2 * length = perimeter
so
2*w + 2 * 4w/3 = 252
w + 4w/3 = 126
7 w/3 126
w = 3 * 126/7
Sure! I can help you with that. To find the width of a rectangle given its length and perimeter, we can use the formula for the perimeter of a rectangle.
The formula to find the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.
In this case, we know that the length is 4 times the width, so we can write L = 4W. Substituting this into the perimeter formula, we get:
P = 2(4W) + 2W
P = 8W + 2W
P = 10W
Now, we know that the perimeter is 252 cm, so we can set up an equation:
252 = 10W
To find the value of W, we can divide both sides of the equation by 10:
252/10 = W
25.2 = W
So, the width of the rectangle is 25.2 cm. However, since the answer choices are given in whole numbers only, we can round the width to the nearest whole number.
Now, let's check the answer choices:
A) 36 cm: This is not the correct answer.
B) 48 cm: This is not the correct answer.
C) 54 cm: This is not the correct answer.
D) 72 cm: This is not the correct answer.
Since none of the answer choices match the calculated width of 25.2 cm, it appears that there may be a mistake in the question or answer choices.