A rectangle is 3 times as long as it is wide. The perimeter is 60 cm. Find the dimensions of the rectangle. Round to the nearest tenth if necessary.
(1 point)
Responses
7.5 cm by 22.5 cm
7.5 cm by 22.5 cm
7.5 cm by 52.5 cm
7.5 cm by 52.5 cm
20 cm by 60 cm
20 cm by 60 cm
15 cm by 22.5 cm
Let's represent the width of the rectangle as x.
According to the problem, the length of the rectangle is 3 times the width, so the length would be 3x.
The formula for the perimeter of a rectangle is P = 2(L + W), where L is the length and W is the width.
In this case, we have P = 2(3x + x) = 2(4x) = 8x.
Given that the perimeter is 60 cm, we can set up the following equation:
8x = 60
Divide both sides of the equation by 8:
x = 60/8 = 7.5
So, the width of the rectangle is 7.5 cm.
The length can be found by multiplying the width by 3:
Length = 3 * 7.5 = 22.5 cm
Therefore, the dimensions of the rectangle are 7.5 cm by 22.5 cm.