Question

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.

w ≥ 0.5l

2l + 2w ≤ 180

Answer 1

The length of the blanket should be less than or equal to 60 inches.

The width should be greater than or equal to 30 inches.

Explanation:

Let the length of the blanket be = l

Let the width of the blanket be = w

Charlene wants the width, w, to be at least half its length, l. This can be shown as :

`w\geq 0.5l`

She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches.

This can be shown as :

`2l+2w\leq 180`

`2l+2(0.5l) \leq 180`

`2l+1l \leq 180`

`3l \leq 180`

`l\leq 30`

So, we get length of the blanket should be less than or equal to 60 inches.

And the width should be greater than or equal to 30 inches.

Answer 2

W > 0.5L

Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
--------------
L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.