Question

Question 8

Ben decides to build a rabbit run to keep his children's rabbits in. The run will be
rectangular with a width of 4 m. He has a maximum of 34 m of fencing to use, but
wants the area to be greater than 50 m². Find the range of values for the length of
the run, using inequalities.

Answer 1

Perimeter:
2(4) + 2x <= 34
AreA
4x > 50
—-> x > 12.5
From perimeter inequality:
2x <= 34-8
—> 2x <= 26
—> x <= 13
So the range for the length
Is
12.5 < x <= 13