Solution:
Let x the width of the rectangle. We know that the perimeter P of a rectangle is given by the following formula:
P = 2h+2w
where h is the height of the triangle and w the with. In this case, h =35 cm. Then, the perimeter of this rectangle is:
P = 2(35)+2x
now, since the perimeter of this rectangle is no greater than 130, we get the following inequality:
2(35)+2x ≤ 130
this is equivalent to
70 + 2x ≤ 130
solving for 2x, this is equivalent to:
2x ≤ 130-70 = 60
that is
2x ≤ 60
solving for x, we get:
x ≤ 30 cm
so that, we can conclude that the correct answer is:
x ≤ 30