Find the dimensions of the rectangle meeting the specified condition.
The perimeter is 30.6 millimeters and the length is 2.4 times the width.

A)10.8 mm × 8.5 mm
B)12.8 mm × 4.5 mm
C)10.8 mm × 4.5 mm
D)14.8 mm × 8.5 mm
E)12.8 mm × 6.5 mm

Question

Find the dimensions of the rectangle meeting the specified condition. ​
The perimeter is 30.6 millimeters and the length is 2.4 times the width.
​
A)10.8 mm × 8.5 mm
B)12.8 mm × 4.5 mm
C)10.8 mm × 4.5 mm
D)14.8 mm × 8.5 mm
E)12.8 mm × 6.5 mm

Quizplus · Accepted Answer

Let's assume that the width of the rectangle is "x" mm. According to the problem, the length is 2.4 times the width, which means the length is 2.4x mm. 
The perimeter of a rectangle is twice the sum of its length and width. So if we add the length and width of the rectangle, we get:
x + 2.4x = 3.4x 
This perimeter is given as 30.6 mm, therefore we can set up the equation:
2(3.4x) = 30.6 
6.8x = 30.6 
x = 4.5 mm

So the width of the rectangle is 4.5 mm, and the length is 2.4 times that, which is 10.8 mm. Therefore, the dimensions of the rectangle are 10.8 mm x 4.5 mm, which matches choice C.

Find the Dimensions of the Rectangle Meeting the Specified Condition