The sides of a rectangle are in the ratio of 5:7.

The perimeter is 144cm.
What is the length of the longest side?

1 answer

Let 5x be the length of the smaller side of the rectangle and 7x be the length of the longer side of the rectangle.

We know that the perimeter of a rectangle is given by: 2(length + width)

So, we can write an equation as:

2(5x + 7x) = 144

Simplifying the equation, we get:

24x = 144

x = 6

Therefore, the length of the longer side (7x) is:

7x = 7(6) = 42 cm

Hence, the length of the longest side is 42 cm.