The perimeter of a rectangle is 126 ft. The ratio of its length to its width is 5 : 4. What are the dimensions of the rectangle?
Question 8 options:
30 ft by 33 ft
35 ft by 28 ft
6 ft by 60 ft
3 ft by 60 ft
To find the dimensions of the rectangle, we can set up a system of equations using the given information.
Let's assume the length of the rectangle is 5x and the width is 4x, where x is a common factor.
According to the given information, the perimeter of the rectangle is 126 ft, so we can write the equation:
2(5x + 4x) = 126
2(9x) = 126
18x = 126
x = 7
Now, we can find the length and width of the rectangle:
Length = 5x = 5 * 7 = 35 ft
Width = 4x = 4 * 7 = 28 ft
Therefore, the dimensions of the rectangle are 35 ft by 28 ft.